mod p spectral Hecke algebras

Abstract: In this talk I will discuss work in progress (for $\textnormal{GL}_2(\mathbb{Q}_p)$) on describing the mod $p$ derived Hecke algebra attached to a Serre weight, as well as the mod $p$ spectral Hecke algebra attached to the corresponding crystalline deformation ring. These objects should act compatibly on the cohomology of arithmetic groups. I will describe these Hecke algebras and their actions in more detail.

number theory

Audience: researchers in the discipline

POINT: New Developments in Number Theory

Series comments: There will be two 20-minute contributed talks during each meeting aimed at a general number theory audience, including graduate students.

Participants are welcome to stay following the talks to have further discussions with the speakers or meet other audience members.

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