Geometry Seminar

Date: March 26, 2018

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Cris Negron, MIT

Title: Cohomology for Drinfeld doubles of finite group scheme

Abstract: In the mid 2000’s Etingof and Ostrik conjectured that the cohomology H*(A,F) of any finite dimensional Hopf algebra A over an arbitrary field F is itself a finitely generated algebra, under the standard (Yoneda) product. This conjecture was motivated, in part, by fantastic work of Friedlander and Suslin from the 90’s, in which they showed that any finite group scheme in characteristic p has finitely generated cohomology. I will discuss joint work with E. Friedlander, where we return to the finite characteristic setting to provide a strong analysis of cohomology for so-called Drinfeld doubles of finite group schemes. I will discuss the central role such doubles play in the more general theory of finite tensor categories, and explain how the cohomology of such doubles can be understood via “classical” data.