Algebra/Topology Seminar

Speaker: Baptiste Morin

Title: Zeta-values and the Beilinson fiber square

Abstract: We give a conjectural description of Zeta-values of arithmetic schemes in terms of two perfect complexes of abelian groups and a canonical trivialization. Then we state a (proven) archimedean analogue of this conjecture. In order to show compatibility with the classical Bloch-Kato conjecture, we study the Beilinson fiber square from a prismatic viewpoint, which provides precise integral information. This implies new cases of the Bloch-Kato conjecture. This is work in progress, joint with Matthias Flach and Achim Krause.