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Seminar on Arithmetic Geometry
January 17 at 15:30 – 17:00 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