The mod p derived Hecke algebra of a p-adic group: structure and applications

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Speaker: 
Niccolo' Ronchetti
Institution: 
UCLA
Time: 
Thu, 01/18/2018 - 3:00pm - 4:00pm
Location: 
RH 306

I will introduce the mod p derived spherical Hecke algebra of a p-adic group, and discuss its structure via a derived version of the Satake homomorphism. Then, I will survey some speculations about its action on the cohomology of arithmetic manifolds.