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Entries for this week: 4

Tuesday November 18, 2025

Geometry and Topology [url]
Higher Segal spaces versus partial groups
- Philip Hackney, University of Louisiana
Time: 3:05
More Information
Abstract/Desc: This talk is about a new connection between the d-Segal spaces of Dyckerhoff and Kapranov and the partial groups of Chermak. The higher Segal conditions generalize the usual Segal condition for simplicial objects, and have applications in representation theory, K-theory, geometry, combinatorics, and elsewhere. Meanwhile, partial groups played a key role in Chermak's proof of the existence and uniqueness of centric linking systems for saturated fusion systems, a major recent result in p-local finite group theory. In this talk, I'll discuss the d-Segal conditions for simplicial spaces and introduce partial groups from the simplicial perspective. These are related via the degree of a partial group, which is the least positive integer k for which it is 2k-Segal. I'll give some examples of partial groups and their degrees, and a hint about the kinds of tools we've developed for these computations. This is all based on joint work with Justin Lynd.

Wednesday November 19, 2025

Biomathematics Journal Club
Dynamic Cluster Field Modeling of Collective Chemotaxis
- Dana Hughes, FSU
Time: 5:00 Room: Dirac Library

Thursday November 20, 2025

Algebra seminar
Volume polynomials
- June Huh, Princeton
Time: 3:05pm Room: LOV 0231
Abstract/Desc: Volume polynomials form a distinguished class of log-concave polynomials exhibiting rich analytic and combinatorial structures, rooted in the geometry of convex bodies and projective varieties. In this talk, I will present an overview of volume polynomials, highlight their applications to the combinatorics of algebraic matroids, introduce a new class of analytic matroids, and discuss several open problems. (Based on joint work with Lukas Grund, Mateusz Michałek, Henrik Süss, and Botong Wang.)

Financial Math
TBD
- Farez Siddiqui, Florida State University
Time: 3.05 Room: 105

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Department of Mathematics

This Week in Mathematics