The categorical conjecture and cuspidal sheaves

Abstract: I will discuss the categorical conjecture of Fargues and Scholze and describe work in progress with Teruhisa Koshikawa to explicate structures on the Galois side. In particular, I will describe a category of cuspidal sheaves on the stack of L-parameters and show how it explicates some classical phenomena.

algebraic geometrynumber theory

Audience: researchers in the topic

Boston University Number Theory Seminar