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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 […]
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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 […] |
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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 […] |
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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 […] |
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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 […] |
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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 […] |
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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 […] |
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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 was established in the early 20th century, has its origins in Gauss's law of quadratic reciprocity. As such, it allows one to determine whether certain […] |
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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 […] |
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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 field in question and can be attractive from both, theoretical and applied perspectives. We consider this construction when M is spanned by the set of […] |
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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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CCMS Colloquium invites you to a talk by Ruby Kim (University of Michigan) Title: Mathematical Models of Circadian Rhythms and Seasonal Timing Abstract: The circadian clock shapes nearly 24-hour periodic rhythms throughout the body, from the activity of individual cells to our daily sleep/wake cycles. These rhythms can be self-sustained (for example, people still show circadian […] |
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This GEMS session will be facilitated by Professor Chiu-Yen Kao from Claremont McKenna College. Title: Finding Your Optimal Paths Abstract: Path planning plays an important role in many aspects of our daily life, among which are transportation, robotics, and optics. In this session, we will explore the mathematics behind path planning including the Dijkstra's algorithm […] |