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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
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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
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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
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END:VEVENT
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230912T150000
DTEND;TZID=America/Los_Angeles:20230912T160000
DTSTAMP:20231006T053002Z
CREATED:20230913T073733Z
LAST-MODIFIED:20231006T053002Z
UID:10002120-1694530800-1694534400@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Robert Bowden (HMC)
DESCRIPTION:Title: Chebyshev Threadings in Skein Algebras for Punctured Surfaces \nAbstract: Skein algebras are algebras of links in a surface quotiented by diagram-based equivalence relations based on the Kauffman bracket. In the case of surfaces with punctures\, the skein algebra is generated by links as well as arcs between the punctures\, and there are additional skein relations for the arcs. We examine the algebraic structure of the punctured case\, finding a description of the central elements at certain roots of unity. Our construction is closely related to the one for the usual skein algebra\, where central elements come from threading links by Chebyshev polynomials.
URL:https://colleges.claremont.edu/ccms/event/chebyshev-threadings-in-skein-algebras-for-punctured-surfaces-robert-bowden-hmc/
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:20230906T161500
DTEND;TZID=America/Los_Angeles:20230906T173000
DTSTAMP:20230913T074549Z
CREATED:20230828T164137Z
LAST-MODIFIED:20230913T074549Z
UID:10002089-1694016900-1694021400@colleges.claremont.edu
SUMMARY:CCMS Student Research Poster Session Fall 2023
DESCRIPTION:The Claremont Center for the Mathematical Sciences (CCMS) Math Colloquium series begins with a student research poster session\, showcasing the mathematical work of all students at the Claremont Colleges. Please join us on Wednesday\, September 6th\, in the Estella Courtyard at Pomona College to see the wealth of research projects that Claremont math students have been involved in. \nTitles & Speakers: \nDegenerate PDE model of epidemic spread dynamicsBelgacem Al-AzemContractivity of Quantum Channels with respect to Quantum State Induced NormsEsteban Ayala\, Evelyne Knight\, and Chloe MarpleOn the t-elasticity of numerical semigroupsKarina BeheraRandom Sampling from Defect-d Preference ListsJasper BownElliptic Curves: Minimal Discriminants and Additive ReductionLouis BurnsApplications of Math Modeling in Microscale BiologyWilliam CeelyThe Chromatic Number of the PlaneJonathan Cervantes\, Timothy Harris\, Enayat Khoueinia\, Michael Krebs\, Katherine Ortiz\, Luis Ruiz\, and Claudia Maria SchmidtAnalyzing Data Science Ethics Pedagogies and CurriculaSara ColandoHarnessing Uncertainty through FDA in Breakthrough DataLuisa Gianuca and Tianmin KongCandy Crush Combinatorics in 2xn and 3xn gridsNitipon MoonwichitMachine Learning Hyperparameter Optimization with Genetic AlgorithmsRylie Weaver
URL:https://colleges.claremont.edu/ccms/event/ccms-student-research-poster-session-fall-2023/
LOCATION:Estella Courtyard\, 610 N College Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium,Special Event
END:VEVENT
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