Number Theory Seminar
Please note this seminar is scheduled in 153 Sloan
In this talk we we discuss a very general conjectured formula for special values of zeta-functions in terms of Weil-etale motivic cohomology, Betti cohomology, and the Hodge decomposition of de Rham cohomology. We also discuss.the compatibility of this formula with Serre's conjectured functional equation. The most elegant way of stating this formula involves modifying the period map from the Betti cohomology of a motive M to the de Rham cohomology of M by multiplying it by special values of the Gamma-function.