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X-WR-CALNAME:Claremont Center for the Mathematical Sciences
X-ORIGINAL-URL:https://colleges.claremont.edu/ccms
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240319T121500
DTEND;TZID=America/Los_Angeles:20240319T131000
DTSTAMP:20260403T213423
CREATED:20231025T032921Z
LAST-MODIFIED:20240206T000905Z
UID:3302-1710850500-1710853800@colleges.claremont.edu
SUMMARY:Almost-prime times in horospherical flows (Taylor McAdam\, Pomona)
DESCRIPTION:There is a rich connection between homogeneous dynamics and number theory.  Often in such applications it is desirable for dynamical results to be effective (i.e. the rates of convergence for dynamical phenomena are known).  In the first part of this talk\, I will provide the necessary background and relevant history to state an effective equidistribution result for horospherical flows on the space of unimodular lattices in R^n.  I will then describe an application to studying the distribution of almost-prime times (integer times having fewer than a fixed number of prime factors) in horospherical orbits and discuss connections of this work to Sarnak’s Mobius disjointness conjecture.  In the second part of the talk I will describe some of the ingredients and key steps that go into proving these results. If time allows\, I will conclude by discussing recent results and ongoing work with M. Luethi that strengthens and generalizes this work.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-taylor-mcadam-pomona/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240319T150000
DTEND;TZID=America/Los_Angeles:20240319T160000
DTSTAMP:20260403T213423
CREATED:20240128T230304Z
LAST-MODIFIED:20240318T165014Z
UID:3364-1710860400-1710864000@colleges.claremont.edu
SUMMARY:*Cancelled* Claremont Topology Seminar: Iris Yoon (Wesleyan College)
DESCRIPTION:This talk has been cancelled. \nWe welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Iris Yoon (Wesleyan College) \nTitle: A generalized Dowker complex for multi-way Relations \nAbstract: Given a relation between two sets X and Y\, one can construct two simplicial complexes\, one having X as its vertex set and the other having Y as its vertex set. These two simplicial complexes (both called Dowker complexes)\, have initially been shown to have isomorphic homology groups (Dowker\, 1952) and were later shown to be homotopy equivalent (Bjorner\, 1988). I will present a generalization of the Dowker complex to multi-way relations. The construction is inspired by a new proof of Dowker homotopy equivalence (Brun & Salbu 2023) that embodies Quillen’s Theorem A. I will present different perspectives for understanding the generalized Dowker complex\, including as global sections of a cellular cosheaf and as the homotopy colimit of some underlying diagram. This is joint work with many collaborators (Vaupel\, Schonsheck\, de Silva\, Giusti\, Sazdanovic\, among others)\, and all results are preliminary.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-iris-yoon-wesleyan-college/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240325T161500
DTEND;TZID=America/Los_Angeles:20240325T171500
DTSTAMP:20260403T213423
CREATED:20240330T173049Z
LAST-MODIFIED:20240330T173059Z
UID:3427-1711383300-1711386900@colleges.claremont.edu
SUMMARY:Ami Radunskaya (Pomona College)
DESCRIPTION:Title:  Can a function tell us how immune cells kill? \nSpeaker: Prof. Ami Radunskaya (Pomona College\, Claremont CA) \nAbstract: The immune system is able to fight cancer by mustering and training an army of effector “killer” cells.  Mathematical models of tumor-immune interactions must describe the proliferation\, recruiting and killing rates of immune cells.  Earlier work surprisingly showed that the functions describing the kill rates distinguish between two types of immune cells.  The mechanisms behind these differences have been a mystery\, however.  In an attempt to unravel this mystery\, we have created a cell-based fixed-lattice model that simulates immune cell and tumor cell interaction involving tumor recognition and two killing mechanisms.  These mechanisms play a big role in the effectiveness of many cancer immunotherapies. Results from model simulations\, along with theories developed by ecologists\, can help to illuminate which mechanisms are at work in different conditions.
URL:https://colleges.claremont.edu/ccms/event/ami-radunskaya-pomona-collegeo/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240326T121500
DTEND;TZID=America/Los_Angeles:20240326T131000
DTSTAMP:20260403T213423
CREATED:20231215T050545Z
LAST-MODIFIED:20240312T172417Z
UID:3331-1711455300-1711458600@colleges.claremont.edu
SUMMARY:Sublattices and subrings of Z^n and random finite abelian groups (Nathan Kaplan\, UC Irvine)
DESCRIPTION:How many sublattices of Zn have index at most X?  If we choose such a lattice L at random\, what is the probability that Zn/L is cyclic?  What is the probability that its order is odd?  Now let R be a random subring of Zn.  What is the probability that Zn/R is cyclic?  We will see how these questions fit into the study of random groups in number theory and combinatorics.  We will discuss connections to Cohen-Lenstra heuristics for class groups of number fields\, sandpile groups of random graphs\, and cokernels of random matrices over the integers.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-nathan-kaplan-uc-irvine/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240326T150000
DTEND;TZID=America/Los_Angeles:20240326T160000
DTSTAMP:20260403T213423
CREATED:20240128T230426Z
LAST-MODIFIED:20240308T230839Z
UID:3365-1711465200-1711468800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Qing Zhang (UC Santa Barbara)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Qing Zhang (UC Santa Barbara) \nTitle: Super-modular categories from near-group centers\n\nAbstract: A super-modular category is a unitary pre-modular category with Müger center equivalent to the symmetric unitary category of super-vector spaces. The modular data for a super-modular category gives a projective representation of the group:  $\Gamma_\theta<\mathrm{SL}(2\, \mathbb{Z})$. Adapting work of Ng-Rowell-Wang-Wen\, Cho- Kim-Seo-You computed modular data from congruence representations of $\Gamma_\theta $ using the congruence subgroup theorem for super-modular categories of  Bonderson-Rowell-Wang-Z and the minimal modular extension theorem of  Reutter-Johnson-Freyd. They found two classes of previously unknown modular data for rank 10 super-modular categories. We show that these data are realized by modifying the Drinfeld centers of near-group fusion categories associated with the groups $\Z/6$ and $\Z/2\times \Z/4$. The methods we develop have more general applications\, and we describe some of them. This talk is based on joint work with Eric Rowell and Hannah Solomon.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-qing-zhang-uc-santa-barbara/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240327T161500
DTEND;TZID=America/Los_Angeles:20240327T173000
DTSTAMP:20260403T213423
CREATED:20240326T203434Z
LAST-MODIFIED:20240326T203434Z
UID:3418-1711556100-1711560600@colleges.claremont.edu
SUMMARY:A Survey of Diophantine Equations (Edray Goins\, Pomona College)
DESCRIPTION:Title: A Survey of Diophantine Equations \nSpeaker: ​Edray Herber Goins\, Professor of Mathematics and Statistics\, Pomona College \nAbstract: There are many beautiful identities involving positive integers. For example\, Pythagoras knew $3^2 + 4^2 = 5^2$ while Plato knew $3^3 + 4^3 + 5^3 = 6^3$. Euler discovered $59^4 + 158^4 = 133^4 + 134^4$\, and even a famous story involving G.~H.~Hardy and Srinivasa Ramanujan involves $1^3 + 12^3 = 9^3 + 10^3$. But how does one find such identities?  Around the third century\, the Greek mathematician Diophantus of Alexandria introduced a systematic study of integer solutions to polynomial equations. In this talk\, we’ll focus on various types of so-called Diophantine Equations\, discussing such topics as Pythagorean Triples\, Pell’s Equations\, Elliptic Curves\, and Fermat’s Last Theorem. \n\n\n\n\nEdray Herber Goins is Professor of Mathematics and Statistics at Pomona College. He has worked as a researcher at both Harvard and the National Security Agency; and has taught at both Caltech and Purdue. Professor Goins has published over 25 journal articles in areas such as applied mathematics\, graph theory\, number theory\, and representation theory; and on topics such as Diophantine equations\, elliptic curves\, and African Americans in mathematics. He has given nearly 300 invited addresses on his research\, acted as a referee for nearly 20 different journals in mathematics\, served on dozens of panels for the National Science Foundation (NSF)\, and been awarded more than $1\,370\,000 in external funding.  Goins currently maintains the website “Mathematicians of the African Diaspora (MAD Pages)”\, and runs a federally-funded Research Experience for Undergraduates (REU) titled Pomona Research in Mathematics Experience (PRiME).
URL:https://colleges.claremont.edu/ccms/event/a-survey-of-diophantine-equations-edray-goins-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:20240328T163000
DTEND;TZID=America/Los_Angeles:20240328T173000
DTSTAMP:20260403T213423
CREATED:20240324T163045Z
LAST-MODIFIED:20240324T163045Z
UID:3413-1711643400-1711647000@colleges.claremont.edu
SUMMARY:Analysis seminar: Therese Basa Landry (UCSB)
DESCRIPTION:Title: Developments in Noncommutative Fractal Geometry\n\nAbstract:  As a noncommutative fractal geometer\, I look for new expressions of the geometry of a fractal through the lens of noncommutative geometry.  At the quantum scale\, the wave function of a particle\, but not its path in space\, can be studied.  Riemannian methods often rely on smooth paths to encode the geometry of a space.  Noncommutative geometry generalizes analysis on manifolds by replacing this requirement with operator algebraic data.  These same “point-free” techniques can also be used to study the geometry of classically pathological spaces like fractals.  The 2016 Nobel Prize in Physics was awarded for work on Hofstadter’s butterfly\, which is a fractal that describes for theoretical condensed matter physicists the allowed energy levels for electrons confined to a crystalline atomic lattice as a function of the magnetic field applied to the system.  By expanding the formalism of fractal geometry to include the mathematical language of quantum theory\, developments in noncommutative fractal geometry can give both mathematicians and physicists the tools to gain insights about quantum behaviors in solids and any new materials made possible by these phenomena.  Other directions in noncommutative fractal geometry will also be discussed.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-therese-basa-landry-ucsb/
LOCATION:Estella 2131\, Pomona College\, 610 N College Ave\, Claremont\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240401T161500
DTEND;TZID=America/Los_Angeles:20240401T171500
DTSTAMP:20260403T213423
CREATED:20240330T172834Z
LAST-MODIFIED:20240330T172834Z
UID:3426-1711988100-1711991700@colleges.claremont.edu
SUMMARY:Chiu-Yen Kao (Claremont McKenna College)
DESCRIPTION:Title: Geometric Optimization Involving Partial Differential Equations and Its Applications \nSpeaker: Professor Chiu-Yen Kao\, Claremont McKenna College\, Claremont\, CA USA \nAbstract: Optimal geometric design for energy functionals\, which depends on solutions to partial differential equations\, provides a vast number of interesting and challenging mathematical problems. One of the famous problems is that L. Rayleigh conjectured that the disk should minimize the fundamental frequency of vibration (the square root of the first Laplace-Dirichlet eigenvalue) among all shapes of equal area\, more than a century ago. In this talk\, we will share our recent findings related to geometric optimization for eigenvalue problems. Our approach involves the development of various computational methods to optimize Steklov eigenvalues and Laplace-Beltrami eigenvalues. Additionally\, we explore applications of these methods.
URL:https://colleges.claremont.edu/ccms/event/chiu-yen-kao-claremont-mckenna-college/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240402T121500
DTEND;TZID=America/Los_Angeles:20240402T131000
DTSTAMP:20260403T213423
CREATED:20231024T210058Z
LAST-MODIFIED:20240326T205224Z
UID:3301-1712060100-1712063400@colleges.claremont.edu
SUMMARY:Well-rounded lattices and security: what we (don't) know (Camilla Hollanti\, Aalto University\, Finland)
DESCRIPTION:I will give a brief introduction to well-rounded lattices and to their utility in wireless communications and post-quantum security. We will see how the lattice theta series naturally arises in these contexts and discuss its connections to well-rounded lattices. The talk is based on joint work with Laia Amoros\, Amaro Barreal\, Taoufiq Damir\, Oliver Gnilke\, David Karpuk\, Alex Karrila\, Niklas Miller\, and Ha Tran.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-camilla-hollanti-aalto-university-finland/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240402T150000
DTEND;TZID=America/Los_Angeles:20240402T160000
DTSTAMP:20260403T213423
CREATED:20240128T230545Z
LAST-MODIFIED:20240308T230729Z
UID:3366-1712070000-1712073600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Jim Hoste (Pitzer College)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Jim Hoste (Pitzer College) \nTitle: Variations on the Kauffman Bracket\n\nAbstract: Forty years ago\, Lou Kauffman formulated his “bracket” polynomial\, a function from link diagrams to Laurent polynomials in one variable. This elementary construction leads to a simple definition of the Jones Polynomial. The simplifying assumptions made by Kauffman in producing the bracket polynomial are not strictly necessary\, leading to the question: Can a more general invariant of links be obtained using variations of the Kauffman bracket? In this talk I will explore this question.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-jim-hoste-pitzer-college/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240403T161500
DTEND;TZID=America/Los_Angeles:20240403T173000
DTSTAMP:20260403T213423
CREATED:20240329T203409Z
LAST-MODIFIED:20240403T231510Z
UID:3424-1712160900-1712165400@colleges.claremont.edu
SUMMARY:CCMS Colloquium Presents the Fall 2024 Course Preview Session
DESCRIPTION:For the next CCMS Colloquium on April 3rd Wednesday\, we invite all \nMATH faculty\, and students intending to enroll in upper division math courses \nto attend the \nFall 2024 Course Preview Session \nof all the upper division math courses offered across the consortium in Fall 2024. \nFaculty\, \nWe strongly encourage you to attend so that students can interact with you\, as this will make the registration process much easier\, with less class switching in the Fall. \nStudents\, \nThis session is particularly important for you to get to know all the upper division course options in mathematics before registration and ask your questions to faculty in person! \nTo access the slides click HERE!
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-presents-the-fall-2024-course-fair/
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:20240404T163000
DTEND;TZID=America/Los_Angeles:20240404T173000
DTSTAMP:20260403T213423
CREATED:20240401T023637Z
LAST-MODIFIED:20240401T023637Z
UID:3430-1712248200-1712251800@colleges.claremont.edu
SUMMARY:Analysis seminar: Shanna Dobson (UCR)
DESCRIPTION:Title: The Chronicles of Fractal Geometry: Fractal Strings\, and Functorial Harps \nAbstract: In this talk\, we explore the colorful analytical world of fractal geometry. We introduce fractal strings in the sense of Lapidus\, both intuitively and by way of rigorous constructions. We examine rich illustrations of higher dimensional fractals and p-adic fractal strings. Then\, we use artistic dimensions to postule new mathematical definitions; namely\, universal properties of fairy tales. We propose a new categorical definition of fractal strings. We conclude with our conjectures on categorical p-adic fractal strings\, which I call functorial harps.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-shanna-dobson-ucr/
LOCATION:Estella 2131\, Pomona College\, 610 N College Ave\, Claremont\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240406T100000
DTEND;TZID=America/Los_Angeles:20240406T120000
DTSTAMP:20260403T213423
CREATED:20240218T044843Z
LAST-MODIFIED:20240218T044843Z
UID:3386-1712397600-1712404800@colleges.claremont.edu
SUMMARY:GEMS April 6th Session
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/gems-april-6th-session/
LOCATION:Harvey Mudd College at the Shanahan Teaching and Learning Center\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:GEMS
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240408T161500
DTEND;TZID=America/Los_Angeles:20240408T173000
DTSTAMP:20260403T213423
CREATED:20240407T210116Z
LAST-MODIFIED:20240407T210252Z
UID:3434-1712592900-1712597400@colleges.claremont.edu
SUMMARY:Ying Wang (University of Oklahoma)
DESCRIPTION:Title: Numerical studies to the Chaplygin gas system and Pressureless Euler Equations \nSpeaker: Ying Wang \nUniversity of Oklahoma\, USA \nAbstract \nIn this talk\, we will discuss the numerical solutions to the Riemann problem for Chaplygin gas equation\, which is the Euler equations equipped with the state equation p = -1/\rho\, as well as the 2D zero-pressure Euler Equations. The spatial discretization is performed using WENO reconstruction together with a carefully defined limiter and time integration is achieved using TVD RK. The numerical results confirm high order of accuracy. This is a joint work with Ling Jin.
URL:https://colleges.claremont.edu/ccms/event/ying-wang-university-of-oklahoma/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240409T121500
DTEND;TZID=America/Los_Angeles:20240409T131000
DTSTAMP:20260403T213423
CREATED:20240328T182316Z
LAST-MODIFIED:20240330T202911Z
UID:3421-1712664900-1712668200@colleges.claremont.edu
SUMMARY:Building TOWARD Geometry: Truncated Octahedra work as Rhombic Dodecahedra (Peter Kagey\, HMC)
DESCRIPTION:In late March\, students\, staff\, and faculty were invited to help collaboratively build a large-scale geometric sculpture on the campus of Harvey Mudd College\, demonstrating a relationship between truncated octahedra and rhombic dodecahedra\, which are two examples of space-filling polyhedra. I’ll talk about the process of designing and building the sculpture\, some geometry and combinatorics underlying the construction\, and some discoveries we made along the way.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-peter-kagey-hmc-2/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240416T121500
DTEND;TZID=America/Los_Angeles:20240416T131000
DTSTAMP:20260403T213423
CREATED:20240324T220030Z
LAST-MODIFIED:20240326T015954Z
UID:3416-1713269700-1713273000@colleges.claremont.edu
SUMMARY:Primitive elements in number fields and Diophantine avoidance (Lenny Fukshansky\, CMC)
DESCRIPTION:The famous primitive element theorem states that every number field K is of the form Q(a) for some element a in K\, called a primitive element. In fact\, it is clear from the proof of this theorem that not only there are infinitely many such primitive elements in K\, but in fact most elements in K are primitive. This observation raises the question about finding a primitive element of small “size”\, where the standard way of measuring size is with the use of a height function. We discuss some conjectures and known results in this direction\, as well as some of our recent work on a variation of this problem which includes some additional avoidance conditions. Joint work with Sehun Jeong (CGU).
URL:https://colleges.claremont.edu/ccms/event/primitive-elements-in-number-fields-and-diophantine-avoidance-lenny-fukshansky-cmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240416T150000
DTEND;TZID=America/Los_Angeles:20240416T160000
DTSTAMP:20260403T213423
CREATED:20240128T230720Z
LAST-MODIFIED:20240414T212101Z
UID:3367-1713279600-1713283200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Ryan Maguire (Dartmouth College)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Ryan Maguire (Dartmouth College) \nTitle: Relative Strengths of Knot Invariants by Experiment \nAbstract: Four knot polynomials have been well studied by topologists\, graph theorists\, and algebraists alike:\nThe Alexander\, Jones\, HOMFLY-PT\, and Khovanov polynomials. It is known that the Khovanov polynomial is “stronger” than the Jones polynomial\, and similarly one may state that HOMFLY-PT is stronger than both the Alexander and Jones polynomials. No comparison can be made between the Jones and Alexander polynomials since there are families of knots with identical Alexander polynomials but distinct Jones polynomials\, and vice-versa\, but experiment tells us the Jones polynomial is stronger\, on average\, at distinguishing knots. We have tabulated the Alexander\, Jones\, and HOMFLY-PT polynomials for all knots up to 19 crossings\, and the Khovanov polynomial for up to 17 crossings. Using this\, we can experiment on the relative strengths of these knot invariants and generate statistics on them.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-ryan-maguire-dartmouth-college/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240417T161500
DTEND;TZID=America/Los_Angeles:20240417T173000
DTSTAMP:20260403T213423
CREATED:20240412T211923Z
LAST-MODIFIED:20240412T211923Z
UID:3436-1713370500-1713375000@colleges.claremont.edu
SUMMARY:Structural Ramsey Theory and Logic (Lynn Scow\, CSUSB)
DESCRIPTION:Title: Structural Ramsey Theory and Logic \nSpeaker: Lynn Scow\, Professor of Mathematics\, California State University\, San Bernardino \nAbstract: The connection between Ramsey theory and logic goes back to Frank P. Ramsey’s 1929 paper in which he announced his famous Ramsey theorem for finite sequences.  This theorem states that for any partition of all sequences of length $k$ from $\mathbb{N}$ into finitely many pieces\, there is an infinite subset $X \subset \mathbb{N}$ such that all sequences of length $k$ from $X$ lie in one piece of this partition.  In the intervening years\, Ramsey theory has been used to study problems in logic\, and vice versa.  In this talk\, I will survey some results from the last few decades\, as well as highlight some results obtained with my coauthor Dana Bartošová at University of Florida. \n\n\n\n\n\nLynn Scow studied mathematics and philosophy at UC Berkeley as an undergraduate and continued on to earn her Ph.D. in mathematics from UC Berkeley.  She then held a postdoctoral position at University of Illinois Chicago followed by a visiting position at Vassar College\, and is currently faculty at California State University\, San Bernardino.  Her research area is primarily in foundations and mathematical logic\, including applications of structural Ramsey theory to model theory and vice versa.  She treasures mathematics for the conversations\, the shared understandings\, and the joy.
URL:https://colleges.claremont.edu/ccms/event/structural-ramsey-theory-and-logic-lynn-scow-csusb/
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:20240422T161500
DTEND;TZID=America/Los_Angeles:20240422T173000
DTSTAMP:20260403T213423
CREATED:20240421T181538Z
LAST-MODIFIED:20240421T181538Z
UID:3442-1713802500-1713807000@colleges.claremont.edu
SUMMARY:İrma Hacınlıyan (Istanbul Technical University)
DESCRIPTION:Title: On Nonlinear Schrödinger Type Equations: Wave Modulation and Mathematical Analysis \nAbstract: The nonlinear Schrödinger (NLS) equation describes the evolution of slowly varying packets of quasi-monochromatic waves in weakly nonlinear dispersive media. The NLS equation with soliton solutions is one of the significant and widely pursued research areas on the nonlinear wave motions. Sub-studies on such evolution equations include derivations of those equations; finding exact solutions and developing methods for these; studies of the analytic and geometric structure of the equations as integrable systems; singularities and collapses of solutions; analyzing modulation equations by dynamical systems methods; and related subjects. In this talk\, nonlinear modulation of waves propagating in a generalized elastic solid according to different physical scenarios will be discussed. Properties of the solutions of NLS-type equations that are derived using the reductive perturbation method will be examined by mathematical analysis methods.
URL:https://colleges.claremont.edu/ccms/event/irma-hacinliyan-istanbul-technical-university/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240423T121500
DTEND;TZID=America/Los_Angeles:20240423T131000
DTSTAMP:20260403T213423
CREATED:20240326T205445Z
LAST-MODIFIED:20240326T205445Z
UID:3419-1713874500-1713877800@colleges.claremont.edu
SUMMARY:Clocks\, parking garages\, and the solvability of the quintic: a friendly introduction to monodromy (Edray Goins\, Pomona College)
DESCRIPTION:Imagine the hands on a clock.  For every complete the minute hand makes\, the seconds hand makes 60\, while the hour hand only goes one twelfth of the way.   We may think of the hour hand as generating a group such that when we “move” twelve times then we get back to where we started.  This is the elementary concept of a monodromy group. In this talk\, we give a gentle introduction to a historical mathematical concept which relates calculus\, linear algebra\, differential equations\, and group theory into one neat theory called “monodromy”.  We explore lots of real world applications\, including why it’s so easy to get lost in parking garages\, and present some open problems in the field.  We end the talk with a discussion of how this is all related to solving polynomial equations\, such as Abel’s famous theorem on the insolubility of the quintic by radicals.
URL:https://colleges.claremont.edu/ccms/event/clocks-parking-garages-and-the-solvability-of-the-quintic-a-friendly-introduction-to-monodromy-edray-goins-pomona-college/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240423T150000
DTEND;TZID=America/Los_Angeles:20240423T160000
DTSTAMP:20260403T213423
CREATED:20240128T230859Z
LAST-MODIFIED:20240414T234902Z
UID:3368-1713884400-1713888000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Joe Breen (University of Iowa)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Joe Breen (University of Iowa) \nTitle: Open books in all dimensions \nAbstract: I will discuss recent work (joint with K. Honda and Y. Huang) on establishing a relationship\, first discovered by Giroux\, between “contact structures” and “open books”. This relationship has been widely used in 3-dimensional contact topology\, and mathematicians are beginning to investigate the consequences in higher-dimensional contact topology. No background knowledge of contact topology or open book decompositions will be assumed. I will even motivate why higher-dimensional contact topology could be useful for questions in low-dimensional topology.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-joe-breen-university-of-iowa/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240425T163000
DTEND;TZID=America/Los_Angeles:20240425T173000
DTSTAMP:20260403T213423
CREATED:20240421T162245Z
LAST-MODIFIED:20240421T162245Z
UID:3440-1714062600-1714066200@colleges.claremont.edu
SUMMARY:Analysis seminar: Reginald Anderson (CMC)
DESCRIPTION:Title: Review of differential geometry\n\nAbstract: 1. Given the embedding of a sphere of radius rho centered at the origin of \R^3 from spherical coordinates\, what is the pullback of the flat metric in \R^3? i.e.\, what is the “round metric” on the 2-sphere of radius rho? 2. If we impose a complex structure on S^2 via identifying charts in \R^2 with \C\, what does the round metric on the unit sphere look like in a complex coordinate?\n\nIf time allows\, we can also cover the following: 3. Christoffel symbols describe the (torsion free\, Levi-Civita) connection on the (tangent bundle of a) Riemannian manifold. These are described in terms of the metric via raising and lowering indices. 4. Geodesics record the notion of “straight lines” in a Riemannian manifold. What does it mean for velocity vectors to be transported in parallel to a path\, in terms of its parametrization and Christoffel symbols?
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-reginald-anderson-cmc/
LOCATION:Estella 2131\, Pomona College\, 610 N College Ave\, Claremont\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240429T161500
DTEND;TZID=America/Los_Angeles:20240429T173000
DTSTAMP:20260403T213423
CREATED:20240421T181945Z
LAST-MODIFIED:20240421T181945Z
UID:3443-1714407300-1714411800@colleges.claremont.edu
SUMMARY:Emer Lopera Arias (HMC)
DESCRIPTION:Title: The fractional p-Laplacian operator. Motivation for its definition and related boundary value problems \nAbstract: \nLast decades\, nonlocal operators\, as the fractional Laplacian\, have gained to much attention due to its applications to several physical Phenomena. In this talk we aim to motivate the definition of the fractional laplacian operator through a simple but quite illustrative example related to Long jump random walks. then\, we will present a generalization to the fractional p-laplacian operator\, p>1\, and we will show a new result concerning the existence of solutions for a boundary value problem with this operator.
URL:https://colleges.claremont.edu/ccms/event/emer-lopera-arias-hmc/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240430T121500
DTEND;TZID=America/Los_Angeles:20240430T131000
DTSTAMP:20260403T213423
CREATED:20240212T222657Z
LAST-MODIFIED:20240424T225203Z
UID:3383-1714479300-1714482600@colleges.claremont.edu
SUMMARY:Negligible cohomology (Matthew Gherman\, Caltech)
DESCRIPTION:For a finite group G\, a G-module M\, and a field F\, an element u in H^d(G\,M) is negligible over F if for each field extension L/F and every continuous group homomorphism from Gal(L^{sep}/L) to G\, u is in the kernel of the induced homomorphism H^d(G\,M) to H^d(L\,M). Negligible cohomology was first introduced by Serre and has deep connections with the embedding problem\, cohomological invariants\, and the profinite inverse Galois problem. Professor Alexander Merkurjev (UCLA) and I were able to compute negligible cohomology in degree 2\, compute the mod p negligible cohomology of elementary abelian p-groups\, and determine the Krull dimension of the quotient of mod p cohomology by the ideal of negligible elements.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-matthew-gherman-cal-tech/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240430T150000
DTEND;TZID=America/Los_Angeles:20240430T160000
DTSTAMP:20260403T213423
CREATED:20240131T040741Z
LAST-MODIFIED:20240131T040741Z
UID:3371-1714489200-1714492800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Elena Wang (Michigan State University)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Elena Wang (Michigan State University) \nTitle: A Distance for Geometric Graphs via the Labeled Merge Tree Interleaving Distance \nAbstract: Geometric graphs appear in many real-world data sets\, such as road networks\, sensor networks\, and molecules. We investigate the notion of distance between graphs and present a metric to measure the distance between two geometric graphs via merge trees. In order to preserve as much useful information as possible from the original data\, we introduce a way of rotating the sublevel set to obtain the merge trees via the idea of the directional transform. We represent the merge trees using a surjective multi-labeling scheme\, and then compute the distance between two representative matrices. Our distance not only has theoretically desirable qualities but can also be approximated in polynomial time. We illustrate its utility by implementation on a Passiflora leaf data set.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-elena-wang-michigan-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:20240501T161500
DTEND;TZID=America/Los_Angeles:20240501T173000
DTSTAMP:20260403T213423
CREATED:20240428T031302Z
LAST-MODIFIED:20240428T031302Z
UID:3448-1714580100-1714584600@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Inaugurual Barbara Beechler Lecture
DESCRIPTION:CCMS Colloquium invites you to the final talk of the 2023-2024 academic year and the inaugural Barbara Beechler Lecture by Professor Judy Grabiner\, Flora Sanborn Pitzer Professor of Mathematics Emerita. \nTitle: It’s All for the Best: Optimization in the History of Science \nAbstract: Many problems\, from optics to economics\, can be solved mathematically by finding the highest\, the quickest\, the shortest – the best of something. This has been true from antiquity to the present. Why did we start looking for such explanations\, and how did we conclude that we could productively do so? Scientific examples will include problems from ancient optics\, and more modern questions in optics and classical mechanics\, drawing on ideas from Newton’s and Leibniz’s calculus and from the Euler-Lagrange calculus of variations. A surprising role will also be played by philosophical and theological ideas\, including those of Leibniz\, Maupertuis\, MacLaurin\, and Adam Smith. \nSpeaker Bio: Judith V. Grabiner received her B.S. in mathematics with honors from the University of Chicago\, and her PhD at Harvard in the History of Science\, with advisors I Bernard Cohen and Dirk Struik. For fourteen years she was a Professor of History at California State University\, Dominguez Hills\, and then for thirty years was Professor of Mathematics at Pitzer College. She has also taught at various times at Harvard\, UC Santa Barbara\, Cal State LA\, UCLA\, Pomona College\, and the University of Leeds in England. \nHer publications have received three Carl B. Allendoerfer Awards for the best article in Mathematics Magazine\, and she is the only four-time winner of the MAA’s Lester Ford award for best article in the American Mathematical Monthly. In 2003 she received the MAA’s Haimo award for teaching mathematics\, principally for her courses in mathematics for liberal arts students. In 2014 her book A Historian Looks Back: The Calculus as Algebra and Selected Writings won the Beckenbach Book Prize from the MAA. She is a Fellow of the American Mathematical Society\, and in 2021 won the Albert Leon Whiteman prize from the AMS for what they called “her outstanding contributions to the history of mathematics\, in particular her works on Cauchy\, Lagrange\, and MacLaurin; her widely-recognized gift for expository writing; and a distinguished career of teaching\, lecturing\, and numerous publications promoting a better understanding of mathematics and the significant roles it plays in culture generally.” \n 
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-inaugurual-barbara-beechler-lecture/
CATEGORIES:Colloquium
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240505T080000
DTEND;TZID=America/Los_Angeles:20240505T170000
DTSTAMP:20260403T213423
CREATED:20240505T202338Z
LAST-MODIFIED:20240505T202338Z
UID:3450-1714896000-1714928400@colleges.claremont.edu
SUMMARY:Prof. Sigifredo Herrón (Universidad Nacional de Colombia-Medellín)
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/prof-sigifredo-herron-universidad-nacional-de-colombia-medellin/
LOCATION:This event is virtual.  Zoom link:  https://pomonacollege.zoom.us/my/radzoom\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240903T121500
DTEND;TZID=America/Los_Angeles:20240903T131000
DTSTAMP:20260403T213423
CREATED:20240824T184428Z
LAST-MODIFIED:20240824T184428Z
UID:3465-1725365700-1725369000@colleges.claremont.edu
SUMMARY:Lattice angles and quadratic forms (Lenny Fukshansky\, CMC)
DESCRIPTION:What are the possible angles between two integer vectors in R^n? If we fix one such possible angle and one integer vector x\, is there always another integer vector y that makes this angle with x? Assuming that x makes a given angle with some vector\, how can we find the shortest such vector y? What if we designate a forbidden set of vectors\, what is the shortest y making a given angle with x outside of this forbidden set? It turns out that all of these questions can be reformulated in terms of a search for zeros of integral quadratic forms\, a rich arithmetic theory. We will give an introduction to this research direction and also show some of our recent results. Joint work with Sehun Jeong (CGU).
URL:https://colleges.claremont.edu/ccms/event/lattice-angles-and-quadratic-forms-lenny-fukshansky-cmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240909T161500
DTEND;TZID=America/Los_Angeles:20240909T171500
DTSTAMP:20260403T213423
CREATED:20240909T231049Z
LAST-MODIFIED:20240909T231049Z
UID:3504-1725898500-1725902100@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Christina Edholm (Scripps College)
DESCRIPTION:Title:    Controlling the unmanageable: insight into control methods for biological systems \nAbstract:\nWhen formulating a model for a biological system\, often we want to use the model to understand the implications of management options and how to optimize the implementation. There are various methods for implementing management through control theory\, ranging from basic\, optimal control\, adaptive control\, and more. We will discuss the different options for utilizing control for biological systems\, and when these different methods make the most sense. The applications focus on invasive species and epidemiology but can be broadened to various other applications.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-christina-edholm-scripps-college/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240910T121500
DTEND;TZID=America/Los_Angeles:20240910T131000
DTSTAMP:20260403T213423
CREATED:20240825T022632Z
LAST-MODIFIED:20240906T182843Z
UID:3469-1725970500-1725973800@colleges.claremont.edu
SUMMARY:Localization techniques in equivariant cohomology (Reginald Anderson\, CMC)
DESCRIPTION:In order to understand a topological space X\, it is often easier to understand X in terms of an action by a group G. When X is a compact complex manifold\, we often let G be products of S^1 or \C^* acting in a nice way (“holomorphically”) on X. This simplifies several calculations of an Euler characteristic by considering the torus-fixed loci; examples are given throughout.\n\nThe notes for this talk can be found here:\n\nhttps://drive.google.com/file/d/1FjhKDeJLIPQBlLA-x-BsnkosNayZMSAn/view?usp=sharing
URL:https://colleges.claremont.edu/ccms/event/localization-techniques-in-equivariant-cohomology-reginald-anderson-cmc-2/
LOCATION:Estella 2113
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
END:VCALENDAR