Special subloci of the moduli of local systems

Special subloci of the moduli of local systems

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Hélène Esnault, Freie Universitat Berlin/IAS
Fine Hall 322

We’ll define what those subloci are, and show a structure theorem on them in rank $1$, which, among other things, enables us to prove Hard Lefschetz in rank $1$ in positive characteristic.

Joint work with Moritz Kerz.