GAAG seminar - Langlands branching rule for representations of quantum affine algebras
Event details
| Date | 12.03.2026 |
| Hour | 13:15 › 15:15 |
| Speaker | Keyu Wang (University of Vienna) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
In the Langlands correspondence, Lie algebras appear in pairs
whose associated root data are dual to each other. Such two Lie algebras
are called Langlands dual Lie algebras.
We are interested in the relationship between the representation
theories of Langlands dual Lie algebras. In this talk, we first recall
the character theory and introduce McGerty’s Langlands branching rule
for finite-dimensional Lie algebras. This question naturally leads us to
quantum groups. We then introduce the Frenkel–Hernandez conjecture for
quantum affine Lie algebras. Finally, we briefly summarize results
proved in joint work with Jingmin Guo and Jian-Rong Li.
This talk assumes no background in quantum groups. Familiarity with Lie
algebras will be helpful.
Practical information
- Informed public
- Free
Contact
- Laetitia Al-Sulaymaniyin