Project Details
Projekt
Motivic homotopy in p-adic cohomology (C07*)
Subject Area
Mathematics
Term
since 2026
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 444845124
The aim of this project will be to establish more connections between the study of motivic homotopy theory and tame cohomology as defined by Hübner-Schmidt. We hope to get more properties of tame motivic cohomology and tame motives (rigidity, six operations, Bott elements etc.) and further study the connection with (P1,∞)-invariant theories for logarithmic schemes over general bases (focusing on prismatic and syntomic cohomology) and possible applications to more refined motivic filtrations of K-theory. A fundamental example will be the study of the tame cohomology of log de Rham-Witt forms, and more general examples will come from the study of the cohomology of reciprocity sheaves of Kahn–Saito–Yamazaki.
DFG Programme
CRC/Transregios
Applicant Institution
Goethe-Universität Frankfurt am Main
Project Head
Professor Alberto Merici
