Special pieces in exceptional Lie algebras
Event details
| Date | 08.05.2013 |
| Hour | 10:15 › 11:30 |
| Speaker | Paul Levy [Lancaster] |
| Location |
MA A1 12
|
| Category | Conferences - Seminars |
The geometry of nilpotent cones of simple complex Lie algebras is in general highly complicated, with deep connections to representation theory, primitive ideals of the universal enveloping algebra and the theory of symplectic singularities. An ongoing joint programme of research with Baohua Fu, Daniel Juteau and Eric Sommers aims to better understand this geometry for exceptional Lie algebras, especially by examining unions of closely related singular strata.
This talk will focus on the special nilpotent orbits, or rather, on their associated special pieces. It was conjectured by Lusztig that every special piece is the quotient of a smooth variety by a finite group. Here we will outline how direct calculations in transverse slices can be employed to establish a "(very) local version" of Lusztig's conjecture.
This talk will focus on the special nilpotent orbits, or rather, on their associated special pieces. It was conjectured by Lusztig that every special piece is the quotient of a smooth variety by a finite group. Here we will outline how direct calculations in transverse slices can be employed to establish a "(very) local version" of Lusztig's conjecture.
Practical information
- Expert
- Free
Organizer
- Jacques Thévenaz
Contact
- Jacques Thévenaz