2022/05/20 GMT 8:15-9:15
Speaker: Hélène Esnault (Freie Universität Berlin)
Title: Recent developments on rigid local systems
Abstract: We shall review some of the general problems which are unsolved on rigid local systems and arithmetic $\ell$-adic local systems. We‘ll report briefly on a proof (2018 with Michael Groechenig) of Simpson’s integrality conjecture for {\it cohomologically rigid local systems}. While all rigid local systems in dimension $1$ are cohomologically rigid (1996, Nick Katz), we did not know until last week of a single example in higher dimension which is rigid but not cohomologically rigid. We’ll present one series of examples (2022, joint with Johan de Jong and Michael Groechenig).