Pre-Galois Categories and Discrete Categories - Lecture on Symmetric Tensor Categories

Explore a 50-minute lecture on "Pre-Galois Categories and Discrete Categories" presented by Nate Harman from the University of Georgia at IPAM's Symmetric Tensor Categories and Representation Theory Workshop. Delve into the construction of symmetric tensor categories from oligomorphic groups and the inverse process of determining when a symmetric tensor category originates from an oligomorphic group. Examine recent developments in recovering oligomorphic groups from symmetric tensor categories and consider how this research potentially contributes to a conjectural classification of symmetric tensor categories. Recorded on January 10, 2024, this talk offers insights into advanced mathematical concepts at the intersection of category theory and group theory.