Analysis on Symmetric and Locally Symmetric Spaces (Multiplicities, Cohomology and Zeta functions)
| dc.creator | Bunke, Ulrich | |
| dc.creator | Waldmueller, Robert | |
| dc.date | 2005-08-29 | |
| dc.date.accessioned | 2026-07-07T05:22:45Z | |
| dc.date.available | 2026-07-07T05:22:45Z | |
| dc.description | The goal of the course was a review of results mainly due to M. Olbrich and the first author. We consider a discrete cocompact subgroup $Γ$ of a semisimple Lie group $G$. We relate the group cohomology of $Γ$ with coefficients in the maximal globalization of a representation of $G$ with the multiplicities of unitary representations of $G$ in $L^2(G/Γ)$. Explicit calculations are given in the case $G=SL(2,R)$. In the rank-one case we state a version of the Selberg trace formula, discuss the singularities of the Selberg zeta-functions, and state their relation with the cohomology of $Γ$ in principal series representations. | |
| dc.description | 11 pages, Notes of a course given at the Summer School "Algebraic Groups" in Goettingen, June 27 - July 15 | |
| dc.identifier | https://arxiv.org/abs/math/0508560 | |
| dc.identifier | http://arxiv.org/abs/math/0508560 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76182 | |
| dc.subject | Representation Theory | |
| dc.subject | Differential Geometry | |
| dc.title | Analysis on Symmetric and Locally Symmetric Spaces (Multiplicities, Cohomology and Zeta functions) | |
| dc.type | text |