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DTSTART;TZID=America/Los_Angeles:20240228T161500
DTEND;TZID=America/Los_Angeles:20240228T173000
DTSTAMP:20240222T005317Z
CREATED:20240222T005317Z
LAST-MODIFIED:20240222T005317Z
UID:10001890-1709136900-1709141400@colleges.claremont.edu
SUMMARY:A Group-Theoretic Ax-Katz Theorem (Pete L. Clark\, University of Georgia)
DESCRIPTION:Title: A Group-Theoretic Ax-Katz Theorem \nSpeaker: Pete L. Clark\, University of Georgia \nAbstract: The Chevalley-Warning Theorem is a result from 1935 asserting that the number of solutions to a low degree polynomial system over a finite field is divisible by the characteristic of the field.  It is an important result — it includes a conjecture of Artin and Dickson from the 1920’s — but it is not difficult to prove: the original proof is about three pages.  In 1964 James Ax gave a completely elementary ten line proof.   In the same paper\, Ax showed that as the number and degrees of the polynomials are held fixed and the number of variables increases\, not only is the size of the solution set divisible by p but by higher and higher powers of p.  The best possible p-adic divisibility here was given in 1971 by Nicholas Katz.  Katz’s proof is at a much higher level: you need specialist knowledge in the right subfields of number theory to understand it.  Simpler proofs were found later\, but none fulfills the fantasy of generalizing Ax’s ten line proof of Chevalley-Warning. \nA 2021 work of Aichinger-Moosbauer develops a fully fledged calculus of finite differences for maps between commutative groups and uses it to give a purely group-theoretic generalization of Chevalley-Warning. Nicholas Triantafillou and I have used and extended this work: up to a few black boxes (where most of the content is indeed hidden) we give a ten line proof of a group-theoretic analogue of Ax-Katz that “qualitatively fulfills my fantasy.”\n\n\n\n\n\nIn (North)west Philadelphia was Pete L. Clark born and raised.  He received undergraduate and masters degrees from the University of Chicago and a PhD from Harvard University.  He has worked in the Mathematics Department at the University of Georgia since 2006\, where he was the Graduate Coordinator from 2016-2019 and where he is now the Principal Honors Advisor.  When time permits he is an avid reader\, and his favorite authors include Ralph Ellison\, Jonathan Franzen\, Kazuo Ishiguro\, Carmen Maria Machado and Lorrie Moore.
URL:https://colleges.claremont.edu/ccms/event/a-group-theoretic-ax-katz-theorem-pete-l-clark-university-of-georgia/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240227T150000
DTEND;TZID=America/Los_Angeles:20240227T160000
DTSTAMP:20240224T002645Z
CREATED:20240128T225822Z
LAST-MODIFIED:20240224T002645Z
UID:10002153-1709046000-1709049600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: No Seminar
DESCRIPTION:No Seminar
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-orsola-capovilla-searle-uc-davis/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;VALUE=DATE:20240224
DTEND;VALUE=DATE:20240225
DTSTAMP:20240124T181543Z
CREATED:20240124T181450Z
LAST-MODIFIED:20240124T181543Z
UID:10002151-1708732800-1708819199@colleges.claremont.edu
SUMMARY:14th WiMSoCal Symposium at Pomona
DESCRIPTION:The 14th Symposium for Women and Gender Minorities in Mathematics in Southern California \nWiMSoCal returns to SoCal after a four-year-hiatus due to pandemic. \nThe symposium will provide an opportunity for women and gender-nonconforming individuals in mathematics in the Southern California area to get to know each other on a personal as well as professional level.  \nOur aim is to create a network of mathematicians in the Southern California area in order to nurture collaborations and provide a framework for mentoring. These relationships can facilitate mathematicians branching into new areas of mathematics\, exploring the variety of ways of contributing mathematically to society and the profession\, and maintaining a healthy\, balanced life. \nAttendees of this symposium will: \n\nLearn about the research of women and gender-nonconforming mathematicians in Southern California \nPresent your work in a supportive environment \nNetwork with other Southern California mathematicians (students\, faculty\, and industry professionals)\nExplore issues surrounding being a woman and gender minority in mathematics \n\nAll are welcome to register and attend: \nhttps://sites.google.com/view/wimsocal2024 \nThis event is made possible partly by Pitzer’s generous Agnes Moreland Jackson Diversity Program Fund.
URL:https://colleges.claremont.edu/ccms/event/14th-wimsocal-symposium-at-pomona/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Special Event
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
GEO:34.0999157;-117.7142668
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240221T161500
DTEND;TZID=America/Los_Angeles:20240221T173000
DTSTAMP:20240202T200558Z
CREATED:20240202T200558Z
LAST-MODIFIED:20240202T200558Z
UID:10001881-1708532100-1708536600@colleges.claremont.edu
SUMMARY:Evolution of an Intriguing Recreational Math Problem (Shawn McMurran\, California State University San Bernardino)
DESCRIPTION:Title: Evolution of an Intriguing Recreational Math Problem \nSpeaker: Shawn McMurran\, California State University San Bernardino \nAbstract: Besides being popular and entertaining\, recreational mathematics problems are often of historical interest. In this presentation we will highlight the origin and evolution of one such simply stated yet deep problem. The problem emerged during the eighteenth century tucked into a primarily standard arithmetic text. Over the next two centuries\, several notable names contributed to a growing collection of extensions\, generalizations\, and solution strategies. In more recent years\, relatives of this versatile problem have remained ubiquitous. It is likely that most audience members are familiar with at least one of its incarnations. During our journey\, opportunities will be provided for the audience to engage with the problem and some of its variations. \n\n\n\n\n\nShawn McMurran is a professor of mathematics at California State University San Bernardino. She earned her PhD in mathematics from UC Riverside with a background in PDEs. Current areas of interest include mathematics education and history of mathematics. She and her colleague Jim Tattersall have enjoyed many years of collaboration on math history projects\, including the subject of this presentation.
URL:https://colleges.claremont.edu/ccms/event/evolution-of-an-intriguing-recreational-math-problem-shawn-mcmurran-california-state-university-san-bernardino/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240220T150000
DTEND;TZID=America/Los_Angeles:20240220T160000
DTSTAMP:20240210T020345Z
CREATED:20240128T225522Z
LAST-MODIFIED:20240210T020345Z
UID:10002152-1708441200-1708444800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Puttipong Pongtanapaisan (Arizona State university)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Puttipong Pongtanapaisan (Arizona State University) \nTitle: Building Knotted Objects Efficiently \nAbstract: Knotted objects can be constructed by gluing together standard pieces called handles. Understanding the minimum number of handles required for construction and their sequential attachment provides valuable insights into the complexity of entanglement. Certain knots require specific types of handles to be attached first\, preventing them from fitting into small lattice tubes. This is particularly relevant as polymers in confinement are modeled as knots within lattice tubes. In this talk\, I will discuss methods for studying these handles and their attachment order using coloring games applied to link diagrams.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-puttipong-pongtanapaisan-arizona-state-university/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240214T161500
DTEND;TZID=America/Los_Angeles:20240214T173000
DTSTAMP:20240210T024434Z
CREATED:20240210T024434Z
LAST-MODIFIED:20240210T024434Z
UID:10001884-1707927300-1707931800@colleges.claremont.edu
SUMMARY:Mirror Symmetry and Zeta Values (Sheel Ganatra\, USC)
DESCRIPTION:Title: Mirror Symmetry and Zeta Values \nSpeaker: Sheel Ganatra\, University of Southern California \nAbstract: Mirror symmetry is a conjectural correspondence\, born out of ideas in string theory\, between two geometries of very different nature. In its earliest mathematical appearance\, mirror symmetry was used to make predictions for certain numerical measurements of one space in terms of utterly different calculations on a mirror space. Mysteriously\, certain famous arithmetic constants\, the Riemann zeta values\, were repeatedly observed to appear in the transformation taking measurements on one side to measurements on the mirror side.  I will survey these ideas and then present joint work with Abouzaid\, Iritani\, and Sheridan explaining a geometric origin for the appearance of these constants in mirror symmetry. \n\n\n\n\n\nSheel Ganatra is an Associate Professor at the University of Southern California. Prior to coming to USC in 2016\, he completed his PhD at MIT with Denis Auroux in 2012 (two years of which were on exchange at UC Berkeley) and spent 4 years as a Szegö Assistant Professor and NSF postdoctoral Fellow at Stanford. His research interests include symplectic geometry and mirror symmetry\, and he is the recipient of an NSF Career Award and a Simons Fellowship.
URL:https://colleges.claremont.edu/ccms/event/mirror-symmetry-and-zeta-values-sheel-ganatra-usc/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240213T150000
DTEND;TZID=America/Los_Angeles:20240213T160000
DTSTAMP:20240129T194110Z
CREATED:20240124T181020Z
LAST-MODIFIED:20240129T194110Z
UID:10002150-1707836400-1707840000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Luya Wang (Stanford)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Luya Wang (Stanford) \nTitle: Deformation inequivalent symplectic structures and Donaldson’s four-six question \nAbstract: Studying symplectic structures up to deformation equivalences is a fundamental question in symplectic geometry. Donaldson asked: given two homeomorphic closed symplectic four-manifolds\, are they diffeomorphic if and only if their stabilized symplectic six-manifolds\, obtained by taking products with CP^1 with the standard symplectic form\, are deformation equivalent? I will discuss joint work with Amanda Hirschi on showing how deformation inequivalent symplectic forms remain deformation inequivalent when stabilized\, under certain algebraic conditions. This gives the first counterexamples to one direction of Donaldson’s “four-six” question and the related Stabilizing Conjecture by Ruan.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-luya-wang-stanford/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240207T161500
DTEND;TZID=America/Los_Angeles:20240207T173000
DTSTAMP:20240201T010113Z
CREATED:20240201T010113Z
LAST-MODIFIED:20240201T010113Z
UID:10001879-1707322500-1707327000@colleges.claremont.edu
SUMMARY:Shrinkage Estimation for Causal Inference and Experimental Design (Evan T. R. Rosenman)
DESCRIPTION:Title: Shrinkage Estimation for Causal Inference and Experimental Design \nSpeaker: Evan T. R. Rosenman\, Assistant Professor of Statistics\, Claremont McKenna College \nAbstract: Passive collection of observational data — in settings such as medicine\, insurance\, and e-commerce — is a ubiquitous feature of modern life. For statisticians\, these ever-proliferating datasets are both promising and perilous. Observational data often contain rich information about the causal effects of novel treatments\, such as a new vaccine or drug regimen. Yet\, because assignment to treatment is not randomized within these data\, one can never guarantee that treated and untreated units are comparable. Consequently\, causal effects derived from observational studies often suffer from bias. The applied literature contains myriad examples of treatments that seemed promising in observational data\, only to be overturned by later\, higher-quality studies. \nHow might we make headway\, given these challenges? One approach is to couple observational data with randomized trials. In this talk\, I will consider how to develop estimators to merge causal effect estimates obtained from observational and experimental datasets\, when the two data sources measure the same treatment. I will primarily operate in the Empirical Bayes (EB) framework. EB procedures\, rooted in the work of Charles Stein and the renowned James-Stein estimator\, offer principled\, data-driven methods for reconciling competing estimates of the same quantity. I will discuss two techniques for deriving EB estimators that effectively merge observational and experimental causal estimates. Additionally\, I will explore the potential contribution of these concepts to improving the efficiency of prospective randomized trials. Simple algorithms\, leveraging numerical integrals\, will be highlighted for making more informed recruitment and treatment assignment decisions within the experimental setup.\n\n\n\n\n\nEvan Rosenman is an Assistant Professor of Statistics in the Claremont McKenna Department of Mathematical Sciences. His research focuses primarily on problems in data science and causal inference\, with applications to political science and public health. He is particularly intrigued by problems involving hybridizing observational and experimental data to better estimate causal effects\, and by applications in modern electioneering\, such as ecological inference and prediction calibration. He earned his PhD in Statistics from Stanford University and completed a postdoctoral fellowship at the Harvard Data Science Initiative.
URL:https://colleges.claremont.edu/ccms/event/shrinkage-estimation-for-causal-inference-and-experimental-design-evan-t-r-rosenman/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240131T161500
DTEND;TZID=America/Los_Angeles:20240131T173000
DTSTAMP:20240120T030122Z
CREATED:20240120T030122Z
LAST-MODIFIED:20240120T030122Z
UID:10001875-1706717700-1706722200@colleges.claremont.edu
SUMMARY:Math as Art and Recreation (Peter Kagey\, HMC)
DESCRIPTION:Title: Math as Art and Recreation \nSpeaker: Peter Kagey\, HMC \nAbstract: Recreational Mathematics is an area of math which is rooted in exploration and playfulness\, and includes puzzles\, games\, art\, and more. This talk takes a closer look at these ideas\, emphasizing how a foundation of curiosity and play can lead to insightful connections with various branches of mathematics\, fostering a deeper appreciation for both the beauty and the enjoyment inherent in mathematics. Illustrating this\, I will describe how a question from Martin Gardner ultimately led to theorems in group theory and combinatorics\, demonstrating the unexpected bridges that can be built between recreational puzzles and deeper mathematical concepts. \n\n\n\n\n\nPeter Kagey is a Visiting Assistant Professor from Harvey Mudd College. He received his Ph.D. from the University of Southern California in 2022. Since 2019\, he has been an Associate Editor with the On-Line Encyclopedia of Integer Sequences. His research interests include combinatorics and algebra\, along with discrete\, experimental\, and recreational mathematics. He is passionate about cultivating a culture of joy\, curiosity\, and care in the mathematics community.
URL:https://colleges.claremont.edu/ccms/event/math-as-art-and-recreation-peter-kagey-hmc/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240130T150000
DTEND;TZID=America/Los_Angeles:20240130T160000
DTSTAMP:20240128T224307Z
CREATED:20240124T180651Z
LAST-MODIFIED:20240128T224307Z
UID:10002149-1706626800-1706630400@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Song Yu (Caltech)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Song Yu (California Institute of Technology and Tsinghua Yau Mathematical Sciences Center) also a Pomona alum! \nTitle: Knot invariants\, Gromov-Witten invariants\, and integrality conjectures \nAbstract: In this talk\, we will take a peek at large N duality which is a deep correspondence between invariants of knots in 3-manifolds and enumerative geometry in symplectic 6-manifolds discovered in physics in the 1980-90s. On the numerical level\, the correspondence relates Chern-Simons knot invariants to open Gromov-Witten invariants which are counts of bordered Riemann surfaces with Lagrangian boundary conditions\, and has led to predictions on the integrality structures of both invariants. We will discuss recent progress on the enumerative geometry side and connections to known integrality properties in Gromov-Witten theory. \n  \n 
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-song-yu-caltech/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240124T161500
DTEND;TZID=America/Los_Angeles:20240124T173000
DTSTAMP:20240118T192512Z
CREATED:20240118T192512Z
LAST-MODIFIED:20240118T192512Z
UID:10001873-1706112900-1706117400@colleges.claremont.edu
SUMMARY:Graph Complexes and Moduli Spaces of Curves (Siddarth Kannan\, UCLA)
DESCRIPTION:Title: Graph Complexes and Moduli Spaces of Curves \nSpeaker: Siddarth Kannan\, UCLA \nAbstract: I will begin by defining a certain combinatorial object called a graph complex. Then I will give a brief introduction to the moduli space of curves. The study of the geometry of this moduli space has occupied several generations of mathematicians\, across fields such as algebraic and differential geometry\, mathematical physics\,  geometric group theory\, and more. Finally\, I will describe the beautiful connection between the graph complex and the topology of the moduli space. \n\n\n\n\n\nI am currently a postdoc at UCLA. I obtained my PhD from Brown University in 2023\, after graduating from Pomona College in 2018. I first became interested in the combinatorial aspects of algebraic geometry while working with Prof. Dagan Karp as an undergraduate.
URL:https://colleges.claremont.edu/ccms/event/graph-complexes-and-moduli-spaces-of-curves-siddarth-kannan-ucla/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231129T161500
DTEND;TZID=America/Los_Angeles:20231129T173000
DTSTAMP:20231107T015413Z
CREATED:20231107T015413Z
LAST-MODIFIED:20231107T015413Z
UID:10001871-1701274500-1701279000@colleges.claremont.edu
SUMMARY:“The science of Mathematics is not crystallized into text-books” : The Bryn Mawr Mathematical Journal Club (1896 — 1924)\, (Jemma Lorenat\, Pitzer College)
DESCRIPTION:Title: “The science of Mathematics is not crystallized into text-books” : The Bryn Mawr Mathematical Journal Club (1896 — 1924) \nSpeaker: Jemma Lorenat\, Pitzer College \nAbstract: As mathematics departments in the United States began to shift toward standards of original research at the end of the nineteenth century\, many adopted journal clubs as forums for students to synthesize and share new research. The Bryn Mawr Mathematical Journal Club\, maintained episodically between 1896 and 1924\, began as a supplement to the graduate course offerings. Each semester student and professor participants focused on a single disciplinary area or surveyed what had been published lately. The Notebooks containing these reports were stored on the open shelves of the college library. These collectively composed documents record ways in which graduate students transcribed and interpreted contemporary mathematics. This talk focuses on the entries of Virginia Ragsdale\, in which she formulated research questions\, tested potential strategies\, and pursued novel results in topology. \n\n\n\n\n\nJemma Lorenat is a historian of mathematics at Pitzer College. She enjoys learning about the long nineteenth century\, visualization\, quantification\, ordinary people becoming mathematicians\, food\, and many other things. Her forthcoming book is about how the local environment of Bryn Mawr College shaped mathematical practices there.
URL:https://colleges.claremont.edu/ccms/event/the-science-of-mathematics-is-not-crystallized-into-text-books-the-bryn-mawr-mathematical-journal-club-1896-1924-jemma-lorenat-pitzer-college/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231128T150000
DTEND;TZID=America/Los_Angeles:20231128T160000
DTSTAMP:20231115T195911Z
CREATED:20231115T195911Z
LAST-MODIFIED:20231115T195911Z
UID:10002148-1701183600-1701187200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Melody Molander (UCSB)
DESCRIPTION:Title: Skein Theory of Affine ADE Subfactor Planar Algebras \nAbstract: Subfactor planar algebras first were constructed by Vaughan Jones as a diagrammatic axiomatization of the standard invariant of a subfactor. These planar algebras also encode two other invariants of the subfactors: the index and the principal graph. The Kuperberg Program asks to find all diagrammatic presentations of subfactor planar algebras. This program has been completed for index less than 4. In this talk\, I will introduce subfactor planar algebras and give some presentations of subfactor planar algebras of index 4 which have affine ADE Dynkin diagrams as their principal graphs.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-melody-molander-ucsb/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231115T161500
DTEND;TZID=America/Los_Angeles:20231115T173000
DTSTAMP:20231106T190605Z
CREATED:20231106T190605Z
LAST-MODIFIED:20231106T190605Z
UID:10002103-1700064900-1700069400@colleges.claremont.edu
SUMMARY:Adinkra Heights and Color-Splitting Rainbows (Ursula Whitcher\, American Mathematical Society)
DESCRIPTION:Title: Adinkra Heights and Color-Splitting Rainbows \nSpeaker: Ursula Whitcher\, American Mathematical Society \nAbstract: Adinkras are decorated graphs that encapsulate information about conjectural relationships between fundamental particles in physics. If we color the edges of an Adinkra with a rainbow of shades in a specific order\, we obtain a special curve that we can study usingalgebraic and geometric techniques. We use this structure to characterize height functions on Adinkras\, then show how to compute the same information using data from our rainbow. This talk describes joint work with Amanda Francis. \n\n\n\n\n\nDr. Ursula Whitcher is an associate editor at Math Reviews (MathSciNet)\, a project of the American Mathematical Society\, covering a range of areas from algebraic geometry to history of mathematics. Before joining the AMS\, Dr. Whitcher earned a PhD from the University of Washington\, was a Teaching and Research Postdoctoral Fellow at Harvey Mudd\, and became an associate professor at the University of Wisconsin-Eau Claire. Find Dr. Whitcher’s mathematically inspired poetry and fiction in Asimov’s Science Fiction Magazine\, Analog\, or the Journal of Humanistic Mathematics.
URL:https://colleges.claremont.edu/ccms/event/adinkra-heights-and-color-splitting-rainbows-ursula-whitcher-american-mathematical-society/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231114T150000
DTEND;TZID=America/Los_Angeles:20231114T160000
DTSTAMP:20231104T141022Z
CREATED:20231104T140011Z
LAST-MODIFIED:20231104T141022Z
UID:10002147-1699974000-1699977600@colleges.claremont.edu
SUMMARY:Geometry and Topology Seminar: Claremont Colleges Course Previews for Spring 2024
DESCRIPTION:On November 14th\, Tuesday from 3-4pm in Fletcher 110\, Geometry and Topology Seminar invites students and faculty to a course preview session devoted to a discussion and presentations about upcoming Spring 2024 courses in \n\ngeometry\,\ntopology and/or\nwith applications in geometry and topology\n\nto help students make their enrollment choices. \nWe will have some refreshments for all attending to enjoy!
URL:https://colleges.claremont.edu/ccms/event/geometry-and-topology-seminar-claremont-colleges-course-previews-for-spring-2024/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231108T161500
DTEND;TZID=America/Los_Angeles:20231108T173000
DTSTAMP:20231020T213157Z
CREATED:20231020T213110Z
LAST-MODIFIED:20231020T213157Z
UID:10002101-1699460100-1699464600@colleges.claremont.edu
SUMMARY:Lonely Runners and My Favorite Polyhedron (Matthias Beck\, San Francisco State University)
DESCRIPTION:Title: Lonely Runners and My Favorite Polyhedron \nSpeaker: Matthias Beck\, Department of Mathematics\, San Francisco State University \nAbstract: We study the Lonely Runner Conjecture\, conceived by Wills in the 1960’s\, and originally phrased in terms of Diophantine approximation: Given positive integers n_1\, n_2\, …\, n_k\, there exists a positive real number t such that for all 1 ≤ j ≤ k the distance of t n_j to the nearest integer is at least 1/(k+1). This conjecture can be recast in lay terms: if k runners with different (constant) speeds move around a circular track of length 1\, then for each runner there will be a time when they have distance at least 1/k to the others. This (in)famous conjecture in combinatorial number theory is open for k ≥ 7.We will give a brief history of the Lonely Runner Conjecture and some of its variants\, emphasizing a view-obstruction approach by Cusick and recent work by Henze and Malikiosis; our goal is to promote a polyhedral ansatz to the Lonely Runner Conjecture. Our results include affirmative instances that become (quite literally) visible through polyhedral geometry. \nBased on joint work with Serkan Hosten (SF State) and Matthias Schymura (Rostock). \n\n\n\n\n\nMatthias Beck is a professor of mathematics at San Francisco State University and has had visiting positions at SUNY Binghamton\, the Mathematical Sciences Research Institute in Berkeley\, the Max-Planck-Institute in Bonn\, Cornell University\, Vassar College\, and the Freie Universität in Berlin. Matt’s research is in combinatorics and number theory\, in particular\, counting integer points in polyhedra and the application of these enumeration functions to various mathematical topics and problems. He (co-)authored four books and numerous research papers\, many of which feature student coauthors. Matt was honored with the Mathematical Association of America’s Haimo Award for Distinguished College or University Teaching of Mathematics in 2013.x`
URL:https://colleges.claremont.edu/ccms/event/lonely-runners-and-my-favorite-polyhedron-matthias-beck-san-francisco-state-university/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231107T150000
DTEND;TZID=America/Los_Angeles:20231107T160000
DTSTAMP:20231016T154054Z
CREATED:20230916T033519Z
LAST-MODIFIED:20231016T154054Z
UID:10002143-1699369200-1699372800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Hyunki Min (UCLA)
DESCRIPTION:Title: Contact structures and the mapping class group of lens spaces \nAbstract: One important problem in contact topology is to classify contact structures on a given manifold. Around 20 years ago\, Giroux and Honda classified contact structures on lens spaces. A natural question to ask after that is how the transformations on lens spaces interact with the contact structures. In this talk\, we study contactomorphisms on lens spaces\, which are diffeomorphisms preserving the contact structure. We show that the contact mapping class group of a standard contact lens space is a subgroup of the mapping class group of the lens space.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-hyunki-min-ucla/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231101T161500
DTEND;TZID=America/Los_Angeles:20231101T173000
DTSTAMP:20231030T223857Z
CREATED:20231030T223857Z
LAST-MODIFIED:20231030T223857Z
UID:10002102-1698855300-1698859800@colleges.claremont.edu
SUMMARY:Slope Gap Distributions of Translation Surfaces (Taylor McAdam\, Pomona College)
DESCRIPTION:Title: Slope gap distributions of translation surfaces \nSpeaker: Taylor McAdam\, Department of Mathematics\, Pomona College \nAbstract: How “random” are the rational numbers? To make sense of this question\, let us consider the set of Farey fractions of level n—that is\, the rational numbers between 0 and 1 with denominator at most n. It turns out that these distribute uniformly in the unit interval as n goes to infinity\, which would suggest they appear to be quite random. However\, we may consider a finer test of randomness by considering the distribution of gaps between consecutive Farey fractions as n tends to infinity. To investigate this\, we will first realize the Farey fractions as the slopes of geodesic paths on the (square) flat torus—a geometric object obtained by gluing the opposite edges of a square together. We will then define the horocycle flow on the space of all flat tori\, which will allow us to study our question about gaps between Farey fractions via a dynamical system. Finally\, we will see how this method can be generalized to study the slope gap distributions for paths on a larger class of geometric objects called translation surfaces and discuss results on the collection of surfaces obtained by gluing together opposite edges of the regular 2n-gon.\n\n\n\n\n\n\nTaylor McAdam graduated with a Bachelor’s degree in mathematics from Harvey Mudd College in 2013 before starting a doctoral program at University of Texas at Austin. In 2017\, she transferred to the University of California San Diego\, where she received her PhD in mathematics in 2019 under the supervision of Amir Mohammadi. She was an NSF Postdoctoral Fellow at Yale University from 2019 to 2023\, before joining the faculty at Pomona College in 2023 as a Visiting Assistant Professor. Her research interests lie at the intersection of dynamical systems\, geometry\, and number theory\, and she is passionate about undergraduate math education and building inclusive mathematical communities.
URL:https://colleges.claremont.edu/ccms/event/slope-gap-distributions-of-translation-surfaces-taylor-mcadam-pomona-college/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231031T150000
DTEND;TZID=America/Los_Angeles:20231031T160000
DTSTAMP:20231030T204415Z
CREATED:20230918T204526Z
LAST-MODIFIED:20231030T204415Z
UID:10002145-1698764400-1698768000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Konstantinos Varvarezos (UCLA)
DESCRIPTION:Title: Cosmetic Surgeries on Knots and Heegaard Floer Homology \nAbstract: A common method of constructing 3-manifolds is via Dehn surgery on knots. A pair of surgeries on a knot is called purely cosmetic if the resulting 3-manifolds are homeomorphic as oriented manifolds\, whereas it is said to be chirally cosmetic if they result in homeomorphic manifolds with opposite orientations. An outstanding conjecture predicts that no nontrivial knots admit any purely cosmetic surgeries. We apply certain obstructions from Heegaard Floer homology to show that (nontrivial) knots which arise as the closure of a 3-stranded braid do not admit any purely cosmetic surgeries. Furthermore\, we find new obstructions to the existence of chirally cosmetic surgeries coming from Heegaard Floer homology; in particular\, we make use of immersed curve formulations of knot Floer homology and the corresponding surgery formula. Combining these with other obstructions involving finite type invariants\, we completely classify chirally cosmetic surgeries on odd alternating pretzel knots. Moreover\, we rule out cosmetic surgeries for L-space knots along slopes with opposite signs.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-konstantinos-varvarezos-ucla/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231025T161500
DTEND;TZID=America/Los_Angeles:20231025T173000
DTSTAMP:20231020T212712Z
CREATED:20231020T212712Z
LAST-MODIFIED:20231020T212712Z
UID:10002100-1698250500-1698255000@colleges.claremont.edu
SUMMARY:What is a moduli space? (Javier Gonzalez Anaya\, HMC)
DESCRIPTION:Title: What is a moduli space? \nSpeaker: Javier Gonzalez Anaya\, Department of Mathematics\, Harvey Mudd College \nAbstract: A natural endeavour in mathematics is to classify objects according to their properties. For example\, we can readily identify straight lines in the plane\, or recognize different kinds of triangles depending on their symmetries. Less intuitive\, however\, is that given a class of mathematical objects\, it is often possible to construct a geometric space parametrizing those objects. Known as “moduli spaces”\, the study of these spaces has been a major driving force of modern geometry. In this talk we will explore some of the main ideas behind moduli theory through examples\, ranging from the moduli space of lines in the plane to the one of points on the sphere. We will finish by discussing our ongoing research on the moduli space of points in d-dimensional space. \n\n\n\n\n\nJavier González Anaya\, PhD\, is an algebraic geometer specializing in the study of combinatorial structures and finite generation problems within the field of birational geometry. His research extends to areas such as the theory of polytopes and machine learning. Currently\, he holds a position as a visiting assistant professor at Harvey Mudd College\, having previously served in a similar role at UC Riverside. Beyond his research\, Javier is a committed educator and mentor\, having overseen student research projects and taught an extensive range of courses.
URL:https://colleges.claremont.edu/ccms/event/what-is-a-moduli-space-javier-gonzalez-anaya-hmc/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231024T150000
DTEND;TZID=America/Los_Angeles:20231024T160000
DTSTAMP:20231017T231659Z
CREATED:20230918T204340Z
LAST-MODIFIED:20231017T231659Z
UID:10002144-1698159600-1698163200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Wenyuan Li (USC)
DESCRIPTION:Title: Generating families on Lagrangian cobordisms \nAbstract: An important question in contact topology is to understand Legendrian knots and their relations given by Lagrangian cobordisms. In the contact manifold T*M x R\, an important tool to study Legendrian knots and their Lagrangian cobordisms is called generating families or generating functions\, which are generalizations of the defining functions f of graphical Legendrians of the form {(x\, df(x)\, f(x))}. When there exists a generating family with good control at infinity\, interesting Legendrian invariants can be extracted. We try to understand the following basic question: when can a generating function on the Legendrian knot be extended to the Lagrangian cobordism? We will give a necessary and sufficient condition to the problem for generating families with good control at infinity. In particular\, we show that such an extension always exists in the case of Lagrangian concordances.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-wenyuan-li-usc/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231018T161500
DTEND;TZID=America/Los_Angeles:20231018T173000
DTSTAMP:20231012T045933Z
CREATED:20231008T000502Z
LAST-MODIFIED:20231012T045933Z
UID:10002098-1697645700-1697650200@colleges.claremont.edu
SUMMARY:"Paths in Mathematics After Undergrad" Panel
DESCRIPTION:Stay tuned for more details about this special event!
URL:https://colleges.claremont.edu/ccms/event/social-panel/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231011T161500
DTEND;TZID=America/Los_Angeles:20231011T173000
DTSTAMP:20231003T221601Z
CREATED:20231003T221601Z
LAST-MODIFIED:20231003T221601Z
UID:10002097-1697040900-1697045400@colleges.claremont.edu
SUMMARY:Equality Cases of Geometric Inequalities (Igor Pak\, UCLA)
DESCRIPTION:Title: Equality Cases of Geometric Inequalities \nSpeaker: Igor Pak\, Department of Mathematics\, University of California\, Los Angeles \nAbstract: Geometric inequalities go back to antiquity\, and so do their equality cases.  As everyone knows\, the circle is the only case when the isoperimetric inequality is sharp.  But what happens to other geometric inequalities?  Apparently\, as the inequalities become more general\, their equality cases become more cumbersome to state and even harder to prove.  I will give a broad survey of various natural examples\, with an emphasis on discrete inequalities.  I will then explain why the celebrated Alexandrov–Fenchel inequality has intractable equality cases\, what does that mean\, and how this can be established.  The talk is aimed at a general audience.
URL:https://colleges.claremont.edu/ccms/event/equality-cases-of-geometric-inequalities-igor-pak-ucla/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231010T150000
DTEND;TZID=America/Los_Angeles:20231010T160000
DTSTAMP:20231006T052904Z
CREATED:20230915T192038Z
LAST-MODIFIED:20231006T052904Z
UID:10002142-1696950000-1696953600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Christopher Perez (Loyola University New Orleans)
DESCRIPTION:Title: Towers and elementary embeddings in total relatively hyperbolic groups \nAbstract: In a remarkable series of papers\, Zlil Sela classified the first-order theories of free groups and torsion-free hyperbolic groups using geometric structures he called towers. It was later proved by Chloé Perin that if H is an elementarily embedded subgroup (or elementary submodel) of a torsion-free hyperbolic group G\, then G is a tower over H. We prove a generalization of Perin’s result to toral relatively hyperbolic groups using JSJ and shortening techniques.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-christopher-perez-loyola-university-new-orleans/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231004T161500
DTEND;TZID=America/Los_Angeles:20231004T173000
DTSTAMP:20231003T221119Z
CREATED:20230927T012451Z
LAST-MODIFIED:20231003T221119Z
UID:10002096-1696436100-1696440600@colleges.claremont.edu
SUMMARY:Thinking Inside the Box: A combinatorial approach to Schubert Calculus (Sami H. Assaf\, USC)
DESCRIPTION:Title: Thinking Inside the Box: A combinatorial approach to Schubert Calculus \nSpeaker: Sami H. Assaf\, Department of Mathematics\, University of Southern California \nAbstract: Given 2 lines in the plane\, how many points lie on both? If we rule out the case where the two lines are the same\, and we work in projective space so that parallel lines share the point at infinity\, then the answer is always the same: 1 point of intersection. Suppose instead we’re given 4 lines in space. How many other lines meet all four of those? Schubert asked\, and in some cases answered\, such problems in enumerative geometry in his celebrated treatise in 1879. He argued that when the answer is finite\, it does not depend on the choice of the linear spaces. Attempts to formalize Schubert’s “Principle of Conversation of Number” have led us to modern Schubert calculus and intersection theory\, which has ramifications in geometry\, topology\, combinatorics\, and even string theory. I will survey the history of this field from Schubert to now\, highlighting a partial solution that involves enumerating ways of putting numbers in boxes. \n\n\n\n\n\nSami Assaf is a Professor of Mathematics and a Gabilan Distinguished Professor of Science and Engineering at the University of Southern California. Her fundamental research in combinatorics\, geometry and probability is supported by grants from the National Science Foundation and the Simons Foundation. She has delivered plenary addresses for AMS meetings as well as for the annual Formal Power Series and Algebraic Combinatorics conference. Professor Assaf is recipient of a USC Mentoring Award for Faculty Mentoring Undergraduates\, directs a local Math Circle for elementary school students\, and currently serves as Director of Graduate Studies for the Department of Mathematics where she works to foster a culture of inclusivity\, diversity\, and excellence for all students.
URL:https://colleges.claremont.edu/ccms/event/thinking-inside-the-box-a-combinatorial-approach-to-schubert-calculus-sami-h-assaf-usc/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231003T150000
DTEND;TZID=America/Los_Angeles:20231003T160000
DTSTAMP:20231006T052910Z
CREATED:20231006T052456Z
LAST-MODIFIED:20231006T052910Z
UID:10002129-1696345200-1696348800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Julian Chaidez (USC)
DESCRIPTION:Title: Quantum 4-Manifold Invariants Via Trisections \nAbstract: I will describe a new family of potentially non-semisimple invariants for compact a 4-manifold whose boundary is equipped with an open book. The invariant is computed using a trisection\, along with some additional combing data\, and a piece of algebraic data called a Hopf triple. The relationship with other recent works on non-semisimple 4-manifold invariants\, like the work of Costantino-Geer-Patureau-Mirand-Virelizier\, is not yet clear. This talk is based on joint work with Shawn Cui (Purdue) and Jordan Cotler (Harvard).
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-julian-chaidez-usc/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230927T161500
DTEND;TZID=America/Los_Angeles:20230927T173000
DTSTAMP:20230927T011953Z
CREATED:20230912T031043Z
LAST-MODIFIED:20230927T011953Z
UID:10002095-1695831300-1695835800@colleges.claremont.edu
SUMMARY:Building the Fan of a Toric Variety (Professor Reginald Anderson\, Claremont McKenna College)
DESCRIPTION:Title: Building the Fan of a Toric Variety \nSpeaker: Reginald Anderson\, Department of Mathematical Sciences\, Claremont McKenna College \nAbstract: Roughly speaking\, algebraic geometry studies the zero sets of polynomials\, which lead to objects called varieties. Since the zero sets of polynomials do not always pass the vertical line test\, we enlist other methods to study them besides considering the graph of a function. This is analogous to the use of implicit differentiation in calculus. One such method uses line bundles to understand a variety in terms of its algebraic subspaces. Since the zero sets of polynomials can become complicated in multiple variables over the complex numbers\, one simplifying assumption we can impose is that the variety contain a dense\, open algebraic torus. This leads to the notion of a toric variety. I will describe the fan of a toric variety for the complex projective line\, and mention some recent results concerning toric varieties. \n\n\n\n\n\nReginald Anderson received his PhD in mathematics from Kansas State University in May and studies derived categories of toric DM stacks. His research areas include algebraic geometry\, homological algebra\, and category theory.
URL:https://colleges.claremont.edu/ccms/event/fourier-mukai-transforms-and-resolutions-of-the-diagonal-professor-reginald-anderson-claremont-mckenna-college/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230926T150000
DTEND;TZID=America/Los_Angeles:20230926T160000
DTSTAMP:20230922T154321Z
CREATED:20230922T154321Z
LAST-MODIFIED:20230922T154321Z
UID:10002146-1695740400-1695744000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Reginald Anderson (CMC)
DESCRIPTION:Title: Cellular resolutions of the diagonal and exceptional collections for toric Deligne-Mumford stacks (Continued) \nAbstract: Beilinson gave a resolution of the diagonal for complex projective space which yields a strong\, full exceptional collection of line bundles. Bayer-Popescu-Sturmfels generalized Beilinson’s result to a cellular resolution of the diagonal for what they called “unimodular” toric varieties (a more restrictive condition than being smooth)\, which can also be extended to smooth toric varieties and global quotient toric DM stacks of a smooth toric variety by a finite abelian group\, if we allow our resolution to have cokernel which is supported only along the vanishing of the irrelevant ideal. Here we show implications for exceptional collections of line bundles and a positive example for the modified King’s conjecture by giving a strong\, full exceptional collection of line bundles on a smooth\, non-unimodular nef-Fano complete toric surface.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-reginald-anderson-cmc-2/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230920T161500
DTEND;TZID=America/Los_Angeles:20230920T173000
DTSTAMP:20230913T074440Z
CREATED:20230911T162639Z
LAST-MODIFIED:20230913T074440Z
UID:10002094-1695226500-1695231000@colleges.claremont.edu
SUMMARY:p-Norm Approval Voting (Professor Michael Orrison\, Harvey Mudd College)
DESCRIPTION:Title: p-Norm Approval Voting \nSpeaker: Michael Orrison\, Professor of Mathematics\, Harvey Mudd College \nAbstract: Approval voting is a relatively simple voting procedure: Given a set of candidates\, each voter chooses a subset of the candidates\, and the candidate chosen the most is then declared the winner. Interestingly\, approval voting can be viewed as an extreme end of a one-parameter family of voting procedures we are calling p-norm approval voting. In this talk\, I’ll explain how we were led to start studying p-norm approval voting\, and I’ll share some of the many properties we’ve discovered about it so far. This is joint work with Hari Nathan\, Katharine Shultis\, and Jessica Sorrells. \n\n\n\n\n\nMichael Orrison is a Professor of Mathematics at Harvey Mudd College. He received his A.B. from Wabash College in 1995\, and his Ph.D. from Dartmouth College in 2001. His teaching interests include linear algebra\, abstract algebra\, discrete mathematics\, and representation theory. His research interests include voting theory and harmonic analysis on finite groups. He particularly enjoys finding\, exploring\, and describing novel applications of the representation theory of finite groups with the help of his talented and energetic research students.
URL:https://colleges.claremont.edu/ccms/event/p-norm-approval-voting-professor-michael-orrison-harvey-mudd-college/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230919T150000
DTEND;TZID=America/Los_Angeles:20230919T160000
DTSTAMP:20230918T204921Z
CREATED:20230915T191657Z
LAST-MODIFIED:20230918T204921Z
UID:10002141-1695135600-1695139200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Reginald Anderson (CMC)
DESCRIPTION:Title: Cellular resolutions of the diagonal and exceptional collections for toric Deligne-Mumford stacks \nAbstract: Beilinson gave a resolution of the diagonal for complex projective space which yields a strong\, full exceptional collection of line bundles. Bayer-Popescu-Sturmfels generalized Beilinson’s result to a cellular resolution of the diagonal for what they called “unimodular” toric varieties (a more restrictive condition than being smooth)\, which can also be extended to smooth toric varieties and global quotient toric DM stacks of a smooth toric variety by a finite abelian group\, if we allow our resolution to have cokernel which is supported only along the vanishing of the irrelevant ideal. Here we show implications for exceptional collections of line bundles and a positive example for the modified King’s conjecture by giving a strong\, full exceptional collection of line bundles on a smooth\, non-unimodular nef-Fano complete toric surface.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-reginald-anderson-cmc/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
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END:VCALENDAR