Cohomology of Arithmetic Groups and Automorphic Forms: Proceedings of a Conference held in Luminy/Marseille, France, May 22-27, 1989 (Lecture Notes in Mathematics, 1447)

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. Contents: J. Schwermer: Cohomology Of Arithmetic Groups, Automorphic Forms And L-functions -- N. Wallach: Limit Multiplicities In L²(Ög) -- A. Ash, A. Borel: Generalized Modular Symbols -- S. Böcherer: On Yoshida's Theta Lift -- G. Harder: Some Results On The Eisenstein Cohomology Of Arithmetic Subgroups Of Gln -- M. Harris: Period Invariants Of Hilbert Modular Forms, I: Trilinear Differential Operators And L-functions -- R.-p. Holzapfel: An Effective Finiteness Theorem For Ball Lattices -- Y. Konno: Unitary Representations With Nonzero Multiplicities In L²(Ög) -- J.-p. Labesse: Signature Des Variétés Modulaires De Hilbert Et Représentations Diédrales -- T. Oda: The Riemann-hodge Period Relation For Hilbert Modular Forms Of Weight 2 -- M. Reeder: Modular Symbols And The Steinberg Representation -- J. Rohlfs: Lefschetz Numbers For Arithmetic Groups -- J. Rohlfs, B. Speh: Boundary Contributions To Lefschetz Numbers For Arithmetic Groups I -- S.p. Wang: Embedding Of Flensted-jensen Modules In L²(Ög) In The Noncompact Case -- List Of Talks -- List Of Participants. J.-p. Labesse, J. Schwermer (eds.). Subseries: Mathematisches Institut Der Universität Und Max-planck-institut Für Mathematik, Bonn, Vol. 15. Includes Bibliographical References. 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. Contents: J. Schwermer: Cohomology Of Arithmetic Groups, Automorphic Forms And L-functions -- N. Wallach: Limit Multiplicities In L2(Ög) -- A. Ash, A. Borel: Generalized Modular Symbols -- S. Böcherer: On Yoshida's Theta Lift -- G. Harder: Some Results On The Eisenstein Cohomology Of Arithmetic Subgroups Of Gln -- M. Harris: Period Invariants Of Hilbert Modular Forms, I: Trilinear Differential Operators And L-functions -- R.-p. Holzapfel: An Effective Finiteness Theorem For Ball Lattices -- Y. Konno: Unitary Representations With Nonzero Multiplicities In L2(Ög) -- J.-p. Labesse: Signature Des Variétés Modulaires De Hilbert Et Représentations Diédrales -- T. Oda: The Riemann-hodge Period Relation For Hilbert Modular Forms Of Weight 2 -- M. Reeder: Modular Symbols And The Steinberg Representation -- J. Rohlfs: Lefschetz Numbers For Arithmetic Groups -- J. Rohlfs, B. Speh: Boundary Contributions To Lefschetz Numbers For Arithmetic Groups I -- S.p. Wang: Embedding Of Flensted-jensen Modules In L2(Ög) In The Noncompact Case -- List Of Talks -- List Of Participants. J.-p. Labesse, J. Schwermer (eds.). Subseries: Mathematisches Institut Der Universität Und Max-planck-institut Für Mathematik, Bonn, Vol. 15. Includes Bibliographical References. 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