Feb 06, 2018
Tuesday

02:00 PM  03:00 PM


Representations of finite reductive groups: from characteristic zero to transverse characteristic
Olivier Dudas (Université de Paris VII (Denis Diderot))

 Location
 MSRI: Simons Auditorium
 Video

 Abstract
This series of lectures will be centered on decomposition numbers for a special class of finite groups such as GL_n(q), SO_n(q),... E_8(q). I will first present what kind of numerical invariants decomposition numbers are, and what representationtheoretic problems they can solve. For finite reductive groups, I will explain how one can use DeligneLusztig theory to get basic sets of ordinary characters and to compute decomposition numbers. If time permits, I will mention a few open problems, including the case of small characteristic.
Lecture 1  Generalities on decomposition numbers
Lecture 2  Basic sets for finite reductive groups
Lecture 3  Computing decomposition numbers
 Supplements




Feb 08, 2018
Thursday

11:00 AM  12:00 PM


Representations of finite reductive groups: from characteristic zero to transverse characteristic
Olivier Dudas (Université de Paris VII (Denis Diderot))

 Location
 MSRI: Simons Auditorium
 Video

 Abstract
This series of lectures will be centered on decomposition numbers for a special class of finite groups such as GL_n(q), SO_n(q),... E_8(q). I will first present what kind of numerical invariants decomposition numbers are, and what representationtheoretic problems they can solve. For finite reductive groups, I will explain how one can use DeligneLusztig theory to get basic sets of ordinary characters and to compute decomposition numbers. If time permits, I will mention a few open problems, including the case of small characteristic.
Lecture 1  Generalities on decomposition numbers
Lecture 2  Basic sets for finite reductive groups
Lecture 3  Computing decomposition numbers
 Supplements




Feb 09, 2018
Friday

11:00 AM  12:00 PM


Representations of finite reductive groups: from characteristic zero to transverse characteristic
Olivier Dudas (Université de Paris VII (Denis Diderot))

 Location
 MSRI: Simons Auditorium
 Video

 Abstract
This series of lectures will be centered on decomposition numbers for a special class of finite groups such as GL_n(q), SO_n(q),... E_8(q). I will first present what kind of numerical invariants decomposition numbers are, and what representationtheoretic problems they can solve. For finite reductive groups, I will explain how one can use DeligneLusztig theory to get basic sets of ordinary characters and to compute decomposition numbers. If time permits, I will mention a few open problems, including the case of small characteristic.
Lecture 1  Generalities on decomposition numbers
Lecture 2  Basic sets for finite reductive groups
Lecture 3  Computing decomposition numbers
 Supplements



