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On equivariant Tamagawa numbers, Weil \'{e}tale cohomology and values of L-functions

Thursday 3rd October 2002 - 11:30 to 12:30
INI Seminar Room 1
Session Title: 
K-theory and arithmetic
We show that, in certain cases, Lichtenbaum's Weil-Etale cohomology leads to a more explicit interpretation of the (equivariant) Tamagawa number conjecture. We then use this interpretation to formulate, and in certain cases also prove, a universal refinement of the well known (and seemingly rather different) conjectures of Stark, of Gross, of Tate, of Rubin and of Darmon concerning the values of derivatives of abelian L-functions.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons