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The Equivariant Polylogarithm and Eisenstein classes

Leertaste = Abspielen/Pausieren
m = Stumm
f = Vollbild
Pfeil-links = Zurückspulen
Pfeil-rechts = Vorspulen
Johannes Sprang

The Equivariant Polylogarithm and Eisenstein classes

In this talk, I will report on a joint work with Guido Kings on the construction of equivariant Eisenstein classes. A certain refinement of the de Rham realization of the polylogarithm allows us to construct new interesting algebraic Eisenstein classes. As an application of our construction, we prove algebraicity results for critical Hecke L-values of totally imaginary fields. This generalizes previous results of Damerell, Shimura and Katz in the CM case. The integrality of our construction allows us to construct p-adic L-functions for totally imaginary fields at ordinary primes.