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Deligne's theorem in positive characteristic

Karthik Ganapathy
Wednesday, October 4, 2023
11:00 AM-12:00 PM
4088 East Hall Map
Deligne proved that in characteristic zero, every tensor category of subexponential growth is super Tannakian. In this talk, I will survey recent work of Etingof, Ostrik et al aimed at extending this theorem to positive characteristic. I will introduce the Verlinde category, and explain why this is a counterexample to Deligne's theorem in char p >= 5. I don't plan to prove anything except basic lemmas and tautologies, but hope to provide the overarching narrative of this line of research with the help of several (counter-)examples and precise questions/results.
Building: East Hall
Event Type: Presentation
Tags: Mathematics, seminar
Source: Happening @ Michigan from Representation Stability Seminar - Department of Mathematics, Department of Mathematics