Arithmetic Groups and Automorphic Forms

 

Vienna, Austria, Erwin Schrödinger International Institute for Mathematical Physics

January 27 - February 2, 2002

 

 

 

The workshop will focus on recent developments in the theory of automorphic forms, particularly those involving interactions with geometry, number theory and representation theory. It is intended to include the following topics:

  1. the interplay between local representation theory and its global applications in the theory of automorphic forms, especially Langlands functoriality.

  2. Arthur-Selberg and topological trace formulas, in particular geometric aspects in the use of these trace formulas for constructing automorphic forms.

    3.  

  3. cohomology of arithmetic groups as a tool in studying possible relations between automorphic forms and the arithmetic of algebraic varieties resp. the geometry of locally symmetric spaces.

Schedule

Monday, January 28
 
9:30  S. Kudla: Integrals of Borcherds forms
11:00  J.-P. Labesse: The principles of trace formula stabilization
15:00  M. Harris: Congruences between endoscopic and stable forms on unitary groups
16:30  J. Schwermer: On the Eisenstein cohomology of arithmetic groups
 
Tuesday, January 29
 
9:30  H. Carayol: Cohomological realization of some Maass-type automorphic representations
11:00  J. Burgos: Arithmetic Chow rings of non compact Shimura varieties
15:00  J. Cogdell: On lifting from classical groups to Gln
16:30  U. Weselmann: The twisted topological trace formula and liftings from GSp4 to GL4 and GL5
 
Wednesday, January 30
 
9:30  J. Tilouine: Modularity of certain rank form symplectic Galois representations
11:00  G. Harder: Eisenstein cohomology and mixed motives
 
Thursday, January 31
 
9:30  V. Heiermann: Special representations and spectral ^Kdecomposition for a p-adic group
11:00  S. Rallis:Automorphic Descent and the Relative Trace Formula for Classical Groups
15:00  J. Mahnkopf: Cohomology of arithmetic groups, parabolic subgroups and special values of L-functions for GLn
16:30  L. Ji: Scattering flats and matrices of locally symmetric spaces

Organizer: Joachim Schwermer

Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090 Wien

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For further information please contact: Joachim.Schwermer@univie.ac.at or the secretary of the Erwin Schrödinger Institute

via secr@esi.ac.at.

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