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Department of Mathematics,
University of California San Diego

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Math 211A: Algebra Seminar

Dr. Ilia Nekrasov

University of California, Berkeley

Where to look for tensor categories?

Abstract:

I will review recent constructions of oligomorphic tensor categories generalizing Deligne's Rep(S_t). Then, I will lean into the model theoretic part of the question. Specifically, I will explain where there are no continuous families like the original Rep(S_t) and where you should look for n-parameter families, i.e., depending on n free variables. Ultimately, these questions are closely related to classes of structures in model theory.

Host: Karthik Ganapathy

April 6, 2026

3:00 PM

APM 7321

Research Areas

Algebra Combinatorics Logic and Computational Complexity Representation Theory

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