Alternatively have a look at the program.

## Tilting modules for reductive groups and the Hecke category, I

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

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

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, IV

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