Pre-Galois Categories and Discrete Categories

Nate Harman
University of Georgia

In previous work with Andrew Snowden we introduced a construction of symmetric tensor categories from oligomorphic groups. In this talk I will discuss some of our more recent work which goes in the oppose direction: Telling when a symmetric tensor category comes from an oligomorphic group, and then recovering the oligomorphic group. I will then discuss how this story potentially fits into a conjectural classification of symmetric tensor categories.

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