North of England Algebraic Number Theory Group

Eighth meeting, Sheffield (28/9/2002)

The eighth meeting took place on Saturday September 28th in Sheffield. Here is the programme:

• 11.00-11.30 coffee
• 11.30-12.30 Peter Schneider (Münster)

  Algebras of p-adic distributions and represention theory

• 12.30-13.45 LUNCH BREAK
• 13.45-14.45 David Burns (KCL)

  On equivariant Tamagawa numbers, Weil étale cohomology and derivatives of abelian L-functions

  Abstract: We show that, in certain cases, Lichtenbaum's Weil-Etale cohomology leads to a much more explicit interpretation of the (equivariant) Tamagawa number conjecture. We then use this approach to formulate, and in certain cases also prove, a universal refinement of the well known (and a priori rather different) conjectures of Stark, of Gross, of Tate, of Rubin and of Darmon concerning the values of derivatives of abelian L-functions.

• 14.45-15.00 break
• 15.00-16.00 Bruno Kahn (Jussieu)

  Rational and numerical equivalences on certain abelian varieties over finite fields

Frazer Jarvis, September 14th, 2002.