Irreducible cuspidal automorphic representations with prescribed local behavior
Event details
| Date | 16.03.2021 |
| Hour | 13:30 › 15:00 |
| Speaker | Hongjie Yu (IST Austria) |
| Location | Online |
| Category | Conferences - Seminars |
Let G be a reductive group defined over a function field F. I use a variant of Arthur’s trace formula to determine the sum of the multiplicities of the irreducible representations in the cuspidal automorphic spectrum of G, with specified local behavior at a finite set of places of F and unramified elsewhere. This sum is given in terms of the mass of F_q points of some Hitchin moduli stack defined by Chaudouard-Laumon. For GL(n), it expresses the number of l-adic local systems over a curve with specified tame ramification in terms of the number of stable parabolic Higgs bundles.
(30 minutes general talk followed by 45 minutes research talk)
Practical information
- Informed public
- Free
Organizer
- Dimitri Wyss
Contact
- Monique Kiener Demander le passcode, si vous souhaitez participer