Speaker: Adrian Langer
Date: 10:30 09/09/2022
Title: Non-abelian Hodge theory in positive characteristic and its applications

Abstract:
I will talk about some applications of Ogus-Vologodsky correspondence to classical problems in algebraic geometry.
In particular, I will talk about  strong semipositivity theorems for analogs  of complex polarized variations 
of Hodge structures and their generalizations. I will also talk about some very recent results concerning generalization 
of non-abelian Hodge theory to singular varieties.