Recent developments on rigid local systems
Speaker: Hélène Esnault (Freie Universität Berlin)

Time: 15:15, Friday, 20/5/2022

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Meeting ID: 896 0321 0669

Passcode: 340252

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).

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