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Seminar on Arithmetic Geometry

January 17 at 15:3017:00 CET

Jens Eberhardt (Gutenberg Universität Mainz): K-motives and Local Langlands

In this talk, we construct a geometric realization of the category of representations of the affine Hecke algebra and p-adic reductive groups.
For this, we introduce a formalism of K-theoretic sheaves (called K-motives) on stacks.
The affine Hecke algebra arises from the K-theory of the Steinberg stack, and we explain how to “categorify” this using K-motives.

Lastly, we discuss applications of K-motives to the local geometric Langlands program.

Zoom (635 7328 0984, Kenncode: kleinste sechsstellige Primzahl

Organizers

Sabrina Pauli
Timo Richarz
Torsten Wedhorn

Venue

Darmstadt, Room 401 and Zoom
Schlossgartenstraße 7
Darmstadt, 64289 Germany
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