l-modular local theta correspondence

26.03.2019 13:15 - 14:45

Justin Trias, Institut de Mathématiques de Jussieu – Paris Rive Gauche.

Abstract: The local theta correspondence is a tool to construct automorphic forms and has many connections with arithmetic issues such as epsilon and gamma factors of L fonctions. In particular, it gives a mean to investigate instances of the Langlands correspondence. I will explain quickly the basics of theta correspondence and use a small example to show a link with Langlands correspondence. I will eventually present how the l-modular local theta correspondence is built and what are the main differences when working with representations of p-adic groups over an algebraic closure of F_l with l neq p.

Organiser:

H. Grobner, A. Minguez-Espallargas, A. Mellit

Location:

BZ 9, 9. OG, OMP1