Cohomology of Arithmetic Groups and Automorphic Forms: Proceedings of a Conference held in Luminy/Marseille, France, May 22–27 1989

Joachim Schwermer (auth.), Jean-Pierre Labesse, Joachim Schwermer (eds.)9780387534220, 0-387-53422-9, 3540534229

Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp. the geometry of locally symmetric spaces. These proceedings will serve as a guide to this still rapidly developing area of mathematics. Besides two survey articles, the contributions are original research papers.

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Table of contents :
Cohomology of arithmetic groups, automorphic forms and L-functions….Pages 1-29
Limit multiplicities in L 2 (Γ∖ G )….Pages 31-56
Generalized modular symbols….Pages 57-75
On Yoshida’s theta lift….Pages 77-83
Some results on the Eisenstein cohomology of arithmetic subgroups of GL n ….Pages 85-153
Period invariants of Hilbert modular forms, I: Trilinear differential operators and L-functions….Pages 155-202
An effective finiteness theorem for ball lattices….Pages 203-236
Unitary representations with nonzero multiplicities in L 2 (Γ∖G)….Pages 237-248
Signature des variétés modulaires de Hilbert et representations diédrales….Pages 249-260
The Riemann-Hodge period relation for Hilbert modular forms of weight 2….Pages 261-286
Modular symbols and the Steinberg representation….Pages 287-302
Lefschetz numbers for arithmetic groups….Pages 303-313
Boundary contributions to Lefschetz numbers for arithmetic groups I….Pages 315-332
Embedding of Flensted-Jensen modules in L 2 (Γ∖ G ) in the noncompact case….Pages 333-356