This fall, I am organizing a seminar on the cohomology of arithmetic groups. Topics may include: the Eichler-Shimura isomorphism, Matsushima's formula, Eisenstein classes, Coherent cohomology, and possibly others.
Time and place: Tuesdays 4:30-6:00 in Mathematics 507.
[BW] Borel, A. and Wallach, N. Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups. Second Edition. AMS, 2000.
[Fra] Franke, J. Harmonic Analysis in Weighted L_2 Spaces. Annales Scientifiques de l'E.N.S., 1998.
[Jac] Jacinto, J. Cohomology of Arithmetic Groups. Notes on Matsushima's formula from Ashwin Iyengar's website.
[LS] Li, J.-S. and Schwermer, J. On the Eisenstein Cohomology of Arithmetic Groups. Duke, 2004.
[VZ] Vogan, D. and Zuckerman, G. Unitary Representations with Non-zero Cohomology. Compositio Mathematica, 1984.
[Wil] Williams, C. Automorphic Forms in Cohomology via Examples. Notes from Ashwin Iyengar's website.
[Yo] Yoshida, T. Notes on Matsushima's Formula.
Date | Title | Speaker | References |
---|---|---|---|
September 17 | Overview | Sam Mundy | |
September 24 | Eichler-Shimura Isomorphism | Ashwin Iyengar | [Wil] |
October 1 | Basic Stuff | Cailan Li | [BW] |
October 8 | More Basic Stuff | Yu-Sheng Lee | [BW] |
October 15 | Matsushima's Formula | Stan Atanasov | [Yo], [Jac] |
October 22 | Computing the Terms in Matsushima's Formula | [Jac], [VZ] | |
October 29 | |||
November 5 | No Talk: Election Day | ||
November 12 | |||
November 19 | |||
November 26 | |||
December 3 | |||
December 10 | |||
December 17 |