Speaker: Quentin Guignard (IHES & ENS)

Date: November 22, 2018

Title : Geometric local epsilon factors

Abstract : We propose a cohomological definition à la Laumon of local
epsilon factors for l-adic Galois representations over k((T)), where k is
a not necessarily finite perfect field. These are graded superlines, on
which the trace of the Frobenius endomorphism, when k is a finite field,
coincide with the local epsilon factors defined by Langlands and Deligne.
We will study various properties of these geometric local epsilon factors,
notably the compatibility with induction.