Geometric Satake for p-adic groups and its categorical trace

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Xinwen Zhu, Caltech & Minerva Distinguished Visitor
Fine Hall 314

I will discuss the (motivic version of) the geometric Satake for p-adic groups, leading to an algebro-geometric construction of the modified Langlands dual group (which was introduced by Deligne, Buzzard-Gee,…) Then I will discuss the categorical trace of the geometric Satake, where moduli of local Shtukas appear.