| 発表言語 |
日本語
|
| 開催日 |
2009年11月25日 10時30分
|
| 終了日 |
2009年11月25日 12時30分
|
| 開催場所 | 京都大学理学部3号館 (数学教室) 305号室 |
| セミナー名 | 表現論連続講演 |
| タイトル |
Geometry of Deligne-Lusztig varieties and representations |
| 分野 |
代数
幾何
解析
|
| 講演者名 | Cedric Bonnafe |
| 講演者所属 | Besancon |
| 概要 | In 1976, the fundamental paper by Deligne and Lusztig
lead to many significant advances in the representation theory
of finite reductive groups. Their theory is build on varieties
(the so-called Deligne-Lusztig varieties) on which the finite
reductive group acts: one can then recover many representations
by studying their l-adic cohomology. This method applies as well
to ordinary representations (character theory) as to modular
representations (blocks, decomposition matrices, Broue's abelian
defect conjecture). Our series of lectures will roughly follow
the following plan:
First lecture - geometry of Deligne-Lusztig varieties
Second lecture - Ordinary representations
Third lecture - Modular representations |
|