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Cohomology of Arithmetic Groups and Automorphic Forms [electronic resource] : Proceedings of a Conference held in Luminy/Marseille, France, May 22–27 1989 / edited by Jean-Pierre Labesse, Joachim Schwermer.

Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 1447Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1990Description: VI, 362 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540468769
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 512.7 23
LOC classification:
  • QA241-247.5
Online resources:
Contents:
Cohomology of arithmetic groups, automorphic forms and L-functions -- Limit multiplicities in L 2(??G) -- Generalized modular symbols -- On Yoshida's theta lift -- Some results on the Eisenstein cohomology of arithmetic subgroups of GL n -- Period invariants of Hilbert modular forms, I: Trilinear differential operators and L-functions -- An effective finiteness theorem for ball lattices -- Unitary representations with nonzero multiplicities in L2(??G) -- Signature des variétés modulaires de Hilbert et representations diédrales -- The Riemann-Hodge period relation for Hilbert modular forms of weight 2 -- Modular symbols and the Steinberg representation -- Lefschetz numbers for arithmetic groups -- Boundary contributions to Lefschetz numbers for arithmetic groups I -- Embedding of Flensted-Jensen modules in L 2(??G) in the noncompact case.
In: Springer eBooksSummary: 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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Cohomology of arithmetic groups, automorphic forms and L-functions -- Limit multiplicities in L 2(??G) -- Generalized modular symbols -- On Yoshida's theta lift -- Some results on the Eisenstein cohomology of arithmetic subgroups of GL n -- Period invariants of Hilbert modular forms, I: Trilinear differential operators and L-functions -- An effective finiteness theorem for ball lattices -- Unitary representations with nonzero multiplicities in L2(??G) -- Signature des variétés modulaires de Hilbert et representations diédrales -- The Riemann-Hodge period relation for Hilbert modular forms of weight 2 -- Modular symbols and the Steinberg representation -- Lefschetz numbers for arithmetic groups -- Boundary contributions to Lefschetz numbers for arithmetic groups I -- Embedding of Flensted-Jensen modules in L 2(??G) in the noncompact case.

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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