Seminar on A1-topology, motives and K-theory

Hermitian K-theory of Dedekind domains

by Denis Nardin (Universität Regensburg)

Europe/Moscow
958-115-833 (Zoom)

958-115-833

Zoom

Description

In this talk I will explain how to define a notion of Hermitian K-theory for stable $\infty$-categories and how this is related with classical notions of Grothendieck-Witt theory and L-theory. We will use the properties of these invariants to compute the hermitian K-theory groups for Dedekind domains in term of other invariants like the K-groups and the Picard group. This is joint work with B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, M. Land, K. Moi, T. Nikolaus and W. Steimle.