INdAM Program on Serre Conjectures and the p-adic local Langlands program
Kiran Kedlaya - Representations of products of Galois groups
I will first recall the role that
representations of self-products of the fundamental group of a curve over a
finite field play in the geometric construction of the Langlands correspondence
via moduli of shtukas. I will then describe how the key lemma of Drinfeld on
such representations transfers to perfectoid spaces, and what consequences this
has (and may continue to have) on the p-adic Langlands correspondence; this
includes joint work with Annie Carter and Gergely Zabradi.
June18th, Dipartimento di Matematica "Tullio Levi-Civita"