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p-Norm Approval Voting (Professor Michael Orrison, Harvey Mudd College)

Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

Title: p-Norm Approval Voting Speaker: Michael Orrison, Professor of Mathematics, Harvey Mudd College Abstract: 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 […]

Chromatic numbers of abelian Cayley graphs (Michael Krebs, Cal State LA)

Roberts North 102, CMC

A classic problem in graph theory is to find the chromatic number of a given graph: that is, to find the smallest number of colors needed to assign every vertex a color such that whenever two vertices are adjacent, they receive different colors.  This problem has been studied for many families of graphs, including cube-like […]

Claremont Topology Seminar: Reginald Anderson (CMC)

Fletcher 110, Pitzer College 1050 N Mills Ave, Claremont, CA, United States

Title: Cellular resolutions of the diagonal and exceptional collections for toric Deligne-Mumford stacks (Continued) Abstract: 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 […]

Building the Fan of a Toric Variety (Professor Reginald Anderson, Claremont McKenna College)

Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

Title: Building the Fan of a Toric Variety Speaker: Reginald Anderson, Department of Mathematical Sciences, Claremont McKenna College Abstract: 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 […]

Applied Math Seminar: Tin Thien Phan (Los Alamos National Laboratory)

Estella 1021 (Emmy Noether Room), Pomona College Claremont, CA, United States

Title: Understanding SARS-CoV-2 viral rebounds with and without treatments. Abstract: In most instances, the characteristics of SARS-CoV-2 mirror the patterns of an acute infection, with viral load rapidly peaking around 5 days post-infection and subsequently clearing within 2 weeks. However, some individuals show signs of viral recrudescence of up to 10000 viral RNA copies/mL shortly […]

Cellular resolutions of the diagonal and exceptional collections for toric D-M stacks (Reginald Anderson, CMC)

Roberts North 102, CMC

Beilinson gave a resolution of the diagonal for complex projective space, which gives a strong, full exceptional collection of line bundles as a generating set for the derived category of coherent sheaves. Bayer-Popescu-Sturmfels generalized Beilinson's resolution of the diagonal by giving a cellular resolution of the diagonal for a proper subclass of smooth toric varieties […]

Claremont Topology Seminar: Julian Chaidez (USC)

Fletcher 110, Pitzer College 1050 N Mills Ave, Claremont, CA, United States

Title: Quantum 4-Manifold Invariants Via Trisections Abstract: 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 […]

Thinking Inside the Box: A combinatorial approach to Schubert Calculus (Sami H. Assaf, USC)

Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

Title: Thinking Inside the Box: A combinatorial approach to Schubert Calculus Speaker: Sami H. Assaf, Department of Mathematics, University of Southern California Abstract: 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 […]

GEMS October 7th Session

Shanahan 1480, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States

Applied Math Seminar: Dan Pirjol (Stevens Institute of Technology)

Estella 1021 (Emmy Noether Room), Pomona College Claremont, CA, United States

Title: The Hartman-Watson distribution: numerical evaluation and applications in mathematical finance Abstract: The Hartman-Watson distribution appears in several problems of applied probability and financial mathematics. Most notably, it determines the joint distribution of the time-integral of a geometric Brownian motion and its terminal value. A classical result by Yor (1981) expresses it as a one-dimensional […]

Claremont Topology Seminar: Christopher Perez (Loyola University New Orleans)

Fletcher 110, Pitzer College 1050 N Mills Ave, Claremont, CA, United States

Title: Towers and elementary embeddings in total relatively hyperbolic groups Abstract: 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 […]

Equality Cases of Geometric Inequalities (Igor Pak, UCLA)

Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

Title: Equality Cases of Geometric Inequalities Speaker: Igor Pak, Department of Mathematics, University of California, Los Angeles Abstract: 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 […]