Categorification and the combinatorics of Harish-Chandra branching rules
Event details
| Date | 27.11.2019 |
| Hour | 14:00 › 15:00 |
| Speaker | Emily Norton, Kaiserslautern |
| Location | |
| Category | Conferences - Seminars |
Groups, Arithmetic and Algebraic Geometry Seminar
Abstract: Level 2 Fock spaces may be categorified by two different representation theoretic categories (which extend the categorification by the Hecke algebra to the whole Fock space) -- categories O of type B rational Cherednik algebras, and categories of unipotent representations of finite classical groups whose BN pair has a type B Weyl group. I will discuss the combinatorics of the branching rule for Harish-Chandra induction in terms of two crystals on the Fock space, as well as an interesting involution on charged bipartitions (generalizing the Mullineux involution) that is an isomorphism of the crystals.
This talk is based on joint work with Thomas Gerber, Nicolas Jacon, plus one solo paper of the author.
Abstract: Level 2 Fock spaces may be categorified by two different representation theoretic categories (which extend the categorification by the Hecke algebra to the whole Fock space) -- categories O of type B rational Cherednik algebras, and categories of unipotent representations of finite classical groups whose BN pair has a type B Weyl group. I will discuss the combinatorics of the branching rule for Harish-Chandra induction in terms of two crystals on the Fock space, as well as an interesting involution on charged bipartitions (generalizing the Mullineux involution) that is an isomorphism of the crystals.
This talk is based on joint work with Thomas Gerber, Nicolas Jacon, plus one solo paper of the author.
Practical information
- Informed public
- Free
Organizer
- Donna Testerman
Contact
- Maroussia Schaffner