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Abstracts for Oberseminar Representation Theory

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Tilting modules for reductive groups and the Hecke category, I

Posted in
Speaker: 
Geordie Williamson
Organiser(s): 
C. Stroppel
Affiliation: 
University of Sydney
Date: 
Tue, 2018-01-23 16:15 - 18:15
Location: 
MPIM Lecture Hall

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)

Tilting modules for reductive groups and the Hecke category, II

Posted in
Speaker: 
Geordie Williamson
Organiser(s): 
C. Stroppel
Affiliation: 
University of Sydney
Date: 
Tue, 2018-01-30 16:15 - 18:15
Location: 
MPIM Lecture Hall

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)

Tilting modules for reductive groups and the Hecke category, III

Posted in
Speaker: 
Geordie Williamson
Organiser(s): 
C. Stroppel
Affiliation: 
University of Sydney
Date: 
Tue, 2018-02-06 16:15 - 18:15
Location: 
MPIM Lecture Hall

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)

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