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Department of Mathematics,
University of California San Diego

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Mathematics Colloquium

Prof. Andrew Snowden

University of Michigan, Ann Arbor

Oligomorphic groups and tensor categories

Abstract:

If G is a finite group then the collection of all finite dimensional complex representations of G carries two important operations: direct sum and tensor product. A tensor category is an abstraction of this situation. Finding new examples of tensor categories is a very difficult problem. In recent work with Harman, we gave a general construction of tensor categories based on oligomorphic groups, a class of infinite permutation groups best known in model theory. I will give an overview of our work.

Hosts: Steven Sam and Karthik Ganapathy

April 24, 2025

4:00 PM

APM 6402

Research Areas

Algebra Combinatorics Logic and Computational Complexity Representation Theory

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