| Speaker: | Nanhua Xi (Chinese Academy of Sciences) |
|---|---|
| Title: | Kazhdan-Lusztig Theory |
| Date (JST): | Wed, Aug 12, 2009, 15:30 - 17:00 |
| Place: | Seminar Room at IPMU Prefab. B |
| Related File: | 125.pdf |
| Abstract: |
The theory is a combination of represenation theory, combinatorics, algebra and geometry, and is one of the most important progresses in Lie Theory in the last 30 years. It plays a key role in solutions to many difficult problems, such as: classifications of irreducible characters of finite groups of Lie type, closed formula for some difficult irreducible characters in Lie theory, understanding representations of Hecke algebras, some problems on primitive ideals of universal enveloping algebras of semisimple Lie algebras. The theory also open many research directions, such as: study of Kazhdan-Lusztig polynomials, Kazhdan-Lusztig cells, relations among Coxeter groups, perverse sheaves, K-theory, etc.. In this talk we will introduce some basic concepts, some applications and some questions of the theory. |
