Cohomology of Arithmetic Groups and Automorphic Forms Proceedings of
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 th
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1447 J.-R Labesse
J. Schwermer (Eds.)
Cohomology of Arithmetic Groups and Automorphic Forms Proceedings of a Conference held in Luminy/Marseille, France, May 22-27 1989
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Editors
Jean-Pierre Labesse Departement de Mathematiques et d'informatique Ecole Normale Superieure, 45 Rue d'Ulm 75230 Paris Cedex 05, France Joachim Schwermer Mathematisch-Geographische Fakultiit Katholische Universitiit Eichstiitt, Ostenstr. 26-28 8078 Eichstatt, Federal Republic of Germany
Mathematics Subject Classification (1980): 11Fxx, 11Gxx, 22Exx ISBN 3-540-53422-9 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-53422-9 Springer-Verlag New York Berlin Heidelberg
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Preface
The conference 'Cohomology of arithmetic groups' held at the 'Centre International de Rencontres Mathematiques', Luminy/Marseille, May 22 27, 1989 was organized to report on recent developments concerning the cohomology of arithmetic groups; the relationship with the theory of automorphic forms, and some number theoretical and geometrical questions involved. Cohomology of arithmetic groups serves as a tool in studying possible relations between automorphic forms and the arithmetic of algebraic varieties resp. the geometry of locally symmetric spaces. The articles in these Proceedings, which are mostly expansions of the talks given at the conference, are intended to reflect some of the advances in this area of mathematics. There are two more or less expository articles (Schwermer, Wallach) which may even serve as introductions to various aspects of the field. Specific topics discussed in the following contributions include modular symbols, Eisenstein series and cohomology, (limit) multiplicities in L 2 (f \ G), finiteness theorems for ball lattices, Hilbert modular forms and related arithmetic questions, Lefschetz numbers for arithmetic groups, and automorphic Lfunctions. The conference was sponsored by the Centre International de Rencontres Mathematiques Societe Mathematique de France. The 'Prix Alexandre de Humboldt pour la cooperation scientifique francoallemande' supported the second named editor. We would like to thank these organizations as well as G. Harder, whose generous financial support through his Gottfried Wilhelm Leibniz Prize made it possible
