Harvard-MIT Algebraic Geometry Seminar

Tuesday, December 07, 2021 at 3:00pm to 4:00pm

Harvard Science Center, SC-507 1 Oxford St, Cambridge, MA 02138

Featured Speaker: Fei Hu (Harvard)

Title: A dynamical approach to generalized Weil's Riemann hypothesis and semisimplicity.

In a letter to Weil, on November 9, 1959, Serre sketched an elegant proof of a Kähler analog of Weil’s Riemann hypothesis. The positive-characteristic analog of Serre’s result is thus called (by us) generalized Weil's Riemann hypothesis and semisimplicity. In this talk, I shall discuss how a dynamical approach can be applied towards these questions. In particular, I will describe the relationships between the above questions, the standard conjectures, and our dynamical conjectures. In the end, some applications to abelian varieties and Kummer surfaces are given.

Zoom info available upon request.

Seminar Covid Statement
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Finally, a reminder to all in-person participants. MIT Covid policies must be adhered to: remember to keep your mask on while inside buildings, eating food is not allowed within lecture rooms, and if you are feeling sick on the day of the talk, please stay home!

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