Project Details
Projekt
Tame cohomology of schemes and adic spaces (C01)
Subject Area
Mathematics
Term
since 2021
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 444845124
The goal of this project is to develop further the theory of tame cohomology and tame homotopy of schemes and adic spaces. First the necessary cohomological machinery, such as base change properties should be developed further. This involves proper and smooth base change for adic spaces and schemes. Moreover, we want to investigate tame homotopy groups. A dream result would be a long exact homotopy sequence for tame homotopy groups in a smooth fibration. Another objective is the connection to the A1-homotopy theory of Morel and Voevodsky.
DFG Programme
CRC/Transregios
Applicant Institution
Goethe-Universität Frankfurt am Main
Project Heads
Dr. Katharina Hübner; Professor Dr. Alexander Schmidt
