Stickelberger Elements and Gross-Stark Units via Adelic Eisenstein Classes

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.

Level thesis:degree_level

thesis.doctoral

Grantor dc:publisher

Universität Bielefeld

Year

2024

Author dc:creator

• Galanakis, Alexandros

Repository record source_url

https://pub.uni-bielefeld.de/record/2992977

OAI identifier oai:identifier

oai:pub.uni-bielefeld.de:2992977