On depth 0 local Langlands via global shtukas

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• Arnaud Eteve (Sorbonne Université)
• Tuesday 02 May 2023, 14:30-15:30
• MR15.

If you have a question about this talk, please contact Rong Zhou.

Let G be a split reductive group over an equicharacteristic local field F. Lafforgue and Genestier have constructed a semisimple local Langlands correspondence for G and F. In this talk, I will discuss some properties of the local Langlands parameters associated to depth 0 representations of G(F). Such results are obtained by computing the monodromy of the cohomology of stacks of global shtukas for G. For depth 0 representations, I will also explain how Deligne-Lusztig theory comes into play.

This talk is part of the Number Theory Seminar series.

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