Project Details
Projekt
K-theory, regularity, and homotopy invariance (C08*)
Subject Area
Mathematics
Term
since 2026
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 444845124
In this project we aim to quantify the failure of homotopy invariance for algebraic K-theory of a ring or scheme. A key ingredient is an analysis of differential forms and trace invariants in the cdh topology. These new insights should enable progress on Vorst's conjecture on a K-theoretic characterization of regularity. A further goal is the study of K-theory of adic spaces. In order to investigate homotopy invariance, we will study regularity conditions on adic spaces based on suitable dévissage theorems. Finally, we will develop a motivic framework to give a universal characterization of the K-theory of adic spaces.
DFG Programme
CRC/Transregios
Applicant Institution
Goethe-Universität Frankfurt am Main
Project Heads
Professorin Dr. Katharina Hübner; Professor Dr. Georg Tamme
