Workshop - Advanced lectures on local representation theory
Event details
| Date | 18.07.2016 › 29.07.2016 |
| Speaker |
Organisers KESSAR Radha (City University London). MALLE Gunter (TU Kaiserslautern). TESTERMAN Donna (EPFL). |
| Location | |
| Category | Conferences - Seminars |
The workshop will consist of three lecture series.
Marc Cabanes, Université Paris Diderot
Block theory of finite reductive groups
Our goal will be to review old and new results about the modular representations of finite reductive groups, essentially in characteristic different from the defining characteristic of the group. This includes the relationship with Lusztig's twisted induction, determination of defect groups and decomposition numbers.
Britta Späth, Bergische Universität Wuppertal
Reduction theorems for some counting conjectures
The course will cover various Clifford-theoretic aspects that give an understanding of the main common arguments behind the reduction theorems of some of the global-local counting conjectures in block theory, in particular the McKay conjecture.
Olivier Dudas, Université Paris Diderot.
Modular aspects of Deligne-Lusztig theory
We will explain how to use the mod-\ell cohomology of Deligne-Lusztig varieties to study the representation theory of finite reductive groups in non-defining characteristic. We will present several applications, including the determination of Brauer trees for blocks with cyclic defect groups
Marc Cabanes, Université Paris Diderot
Block theory of finite reductive groups
Our goal will be to review old and new results about the modular representations of finite reductive groups, essentially in characteristic different from the defining characteristic of the group. This includes the relationship with Lusztig's twisted induction, determination of defect groups and decomposition numbers.
Britta Späth, Bergische Universität Wuppertal
Reduction theorems for some counting conjectures
The course will cover various Clifford-theoretic aspects that give an understanding of the main common arguments behind the reduction theorems of some of the global-local counting conjectures in block theory, in particular the McKay conjecture.
Olivier Dudas, Université Paris Diderot.
Modular aspects of Deligne-Lusztig theory
We will explain how to use the mod-\ell cohomology of Deligne-Lusztig varieties to study the representation theory of finite reductive groups in non-defining characteristic. We will present several applications, including the determination of Brauer trees for blocks with cyclic defect groups
Links
Practical information
- General public
- Free
Organizer
- CIB
Contact
- Valérie Krier