Biquandle arrow weights invariants are enhancements of the biquandle counting invariant for oriented virtual and classical knots defined from biquandle-colored Gauss diagrams using a tensor over an abelian group satisfying certain properties. In this talk, we categorify the biquandle arrow weight polynomial invariant using biquandle coloring quivers, obtaining new infinite families of polynomial invariants of […]
Abstract: Two-point boundary-value problems (BVPs) appear frequently in applied mathematics. When looking for solutions of boundary-value problems for some partial differential equations (PDEs) in mathematical physics, two-point BVPs come up as a result of applying the method of separation of variables, for instance. In the case of linear PDEs, the resulting two-point BVPs fall into […]
Davidson Lecture Hall, CMC
340 E 9th St, Claremont, CA, United States
CCMS Colloquium invites you to a talk by Professor Ko Honda, Professor of Mathematics at UCLA. Title: Morse theory, Floer homology, and string topology Abstract: One of the most important theories in geometry/topology is Floer homology, which can be viewed as a Morse theory of a loop space of a manifold (a generalization of a surface to […]
Emmy Noether Room, Estella 1021, Pomona College,
610 N. College Ave., Claremont, CA, United States
Abstract: The 2022 Los Angeles City Council scandal intensified public demand for governance reform, leading to the creation of the Los Angeles Charter Reform Commission. The commission is now considering proposals from civic and academic groups. Major recommendations include: eliminating the automatic election of candidates who win a primary majority, expanding the size of the […]
An inner amenable group is one in which there is a finitely additive conjugation-invariant probability measure on the non-identity elements. In this talk, we show that inner amenability is not preserved under elementary equivalence. As a result, we give the first example of a group that is inner amenable but not uniformly inner amenable.
A graphical design is a quadrature rule for a graph inspired by classical numerical integration on the sphere. Broadly speaking, that means a graphical design is a relatively small subset of graph vertices chosen to capture the global behavior of functions from the vertex set to the real numbers. We first motivate and define graphical […]
Davidson Lecture Hall, CMC
340 E 9th St, Claremont, CA, United States
Title: Geometric classification problems with the Bergman metric Abstract: One of the common problems in mathematics is the classification problem: When are two mathematical structures really the same? The classification problem appears throughout undergraduate mathematics courses in different forms. For example, in an abstract algebra course, one asks when are two groups isomorphic? In a […]
Davidson Lecture Hall, CMC
340 E 9th St, Claremont, CA, United States
CCMS Colloquium invites you to a talk by Assistant Professor of Mathematics Robert Cass of Claremont McKenna College: Title: An introduction to the Langlands program Abstract: Class field theory, which […]
Emmy Noether Room, Estella 1021, Pomona College,
610 N. College Ave., Claremont, CA, United States
Abstract: The shape of the fluctuations as heat approaches equilibrium in an insulated body are governed by the first Neumann eigenfunction of the Laplacian. Rauch's hot spots conjecture states that the extrema of the first nontrivial Neumann Laplacian eigenfunction for a Lipschitz domain lies on the boundary. While this conjecture is false in general, its […]
A Z-module M in a number field K gives rise to a lattice in the corresponding Euclidean space via Minkowski embedding. Such lattices often carry inherited structure from the number […]
Davidson Lecture Hall, CMC
340 E 9th St, Claremont, CA, United States
Title: Transfinite Apollonian metric Abstract: The concept of transfinite diameter of compact sets in the complex plane was introduced by Fekete in 1923. It is a generalization of the standard diameter of sets and has found many applications in the study of conformal mappings. The Apollonian metric was introduced by A. Beardon in 1995 and […]
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