Progress on local shtukas

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• Vincent Lafforgue (CNRS and Université Paris Cité)
• Tuesday 07 May 2024, 14:30-15:30
• MR13.

If you have a question about this talk, please contact Jef Laga.

I will explain some recent progress on local shtukas in characteristic p. It is a joint work in progress with Eteve, Gaitsgory and Genestier. The proof uses nearby cycles over general bases (after Deligne, Laumon, Gabber, Orgogozo, Hansen, Scholze), which I will recall. I will also explain the compatibilities with global shtukas and multiplicity conjectures.

This talk is part of the Number Theory Seminar series.

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