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.
|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]|
|November 5||No Talk: Election Day|