PUB - Publikationen an der Universität Bielefeld

The Eisenstein cohomology classes introduced by Nori, along with their integral refinements by Beilinson, Kings, and Levin, offer straightforward proofs for the rationality and integrality properties of special values of abelian L-functions over totally real fields. In our recent joint work with Spiess, we introduce an adelic refinement of these constructions, which enables us to establish novel divisibility properties of Stickelberger elements associated with abelian extensions of totally real fields. As an additional application, we obtain a cohomological formula for Gross-Stark units, akin to the one previously provided by Dasgupta and Spiess using Shintani cocycles.