Our aim in this seminar is to understand the proof of the existence of cyclic base change for GL_n by Labesse. It is based on the non-invariant trace formula, which simplifies the earlier proof of Arthur-Clozel which first required a (more complicated) invariant trace formula.
The highlights of our seminar will be getting to know the Arthur trace formula, proving the base change fundamental lemma, and seeing the global application to cyclic base change.
Please see here for the detailed seminar program.
We meet in Room 204 on Mondays, 10:00 -- 11:30.
| Date | Topic | Speaker |
|---|---|---|
| Sept 15 | First meeting | Fabio La Rosa |
| Sept 22 | Geometric side of the trace formula | Zhang Lichang |
| Oct 13 | Spectral side of the trace formula | Yao Haodong |
| Oct 20 | Norm map and transfer | Shi Yousheng |
| Oct 27 | Elementary functions | Liu Dongwen |
| Nov 3 | Proof of the fundamental lemma I | Pol van Hoften / Fabio La Rosa |
| Nov 10 | Proof of the fundamental Lemma II | Pol van Hoften / Fabio La Rosa |
| Nov 17 | Global cyclic base change for GL_n | Xiong Liangyi |
| Nov 24 | Local base change and inner forms | Chen Rui |
| [AC] | J. Arthur, L. Clozel, Simple algebras, base change, and the advanced theory of the trace formula, Ann. of Math. Stud. 120, Princeton University Press. |
| [Labesse] | J.-P. Labesse, Noninvariant base change identities, Mem. Soc. Math. France (N.S.) 61 (1995). |