School of Mathematics Seminars and Lectures
Mod p representations of GL_n of p-adic fields
by Prof. Michael Schein (Bar Ilan University, Israel)
Wednesday, January 30, 2013
from
to
(Asia/Kolkata)
at Colaba Campus ( AG-77 )
at Colaba Campus ( AG-77 )
Description |
Abstract Let F be a finite extension of Q_p. A mod p local Langlands correspondence is known for GL_2(Q_p) and believed to exist between mod p representations of the absolute Galois group of F and certain mod p representations of GL_n(F) for arbitrary F and n. A major obstacle to the study of the correspondence is that the supersingular mod p representations of GL_n(F), which by recent work of Herzig are known to be the building blocks of the mod p representation theory of this group, are very poorly understood. After an introduction to the mod p representation theory of GL_n(F), we will discuss recently discovered obstacles to understanding the supersingular representations, as well as what is known. |