In this term we want to learn the basics about automorphic representations. We follow closely the first chapters of the recent book
An introduction to automorphic representations with a view toward trace formulae by Getz and Hahn.
Here is the program .
The seminar takes place on Wednesdays 10:15 - 11:45 in room G.14.34(BUW).
| Talk | Day | Speaker |
|---|---|---|
| 1. Discussion and distribution of the talks | 19.10.22 | all |
| 2. Adeles | 26.10.22 | Lukas |
| 3.The Haar measure | 02.11.22 | Oliver |
| 4. The Adelic quotient | 09.11.22 | Mattia |
| 5. Automorphic Representations in the \(L^2\)-sense | 16.11.22 | Sonia |
| 6. Smooth vectors and representations of compact groups | 23.11.22 | Dennis |
| 7. \((\mathfrak{g}, K)\)-modules, infinitesimal characters, and classification of \((\mathfrak{g}, K)\)-modules for \({\rm GL}_{2\mathbb{R}}\) | 30.11.22 | Jens E. |
| 8. Smooth and admissble representations | 07.12.22 | Sascha |
| 9. Unramified Hecke-Algebra and Flath's Theorem | 14.12.22 | Kay |
| 10. Automorphic forms and - representations | 21.12.22 | Fei |
| 11. Cuspidal automorphic representations and modular forms, I | 11.01.23 | Matthias |
| 12. Cuspidal automorphic representations and modular forms, II | 18.01.23 | Matthias |
| 13. Unramified representations, the Satake Isomorphism, and the Langlands dual group | 25.01.23 | Marc |
| 14. Satake Isomorphism for unramified groups and principal series | 01.02.23 | Georg |