Speaker:
Geordie Williamson
Affiliation:
University of Sydney
Date:
Tue, 13/02/2018 - 16:15 - 18:15
Determining the characters of indecomposable tilting modules for reductive groups is one of the most fundamental
open problems in modular representation theory. A solution for GL_n would answer the question of the dimensions of
the simple modules for the symmetric group in characteristic p. It is related to (but almost certainly harder than) the
determination of the simple characters. I will describe a new algorithm (based on a long and ongoing series of work
with Elias, Riche, Libedinsky, Achar-Makisumi-Riche) which allows one to calculate much further. There are many