Project Details
Duality with Frobenius and Fp-étale ccohomology (C02)
Subject Area
Mathematics
Term
since 2021
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 444845124
The construction of the derived Grothendieck–Serre duality functor incorporating Frobenius actions will be the first step; on the one hand by following the techniques form Bhatt–Lurie but also by using higher categorical methods on the other. Afterwards its compatibility with other cohomological operations has to be verified as a crucial step towards showing the aimed for duality. The investigation of more general coefficient systems, applications to birational geometry and a higher dimensional Euler–Poincaré formula will be approached afterwards.
DFG Programme
CRC/Transregios
Applicant Institution
Goethe-Universität Frankfurt am Main
Project Heads
Professor Manuel Blickle, Ph.D.; Professor Dr. Gebhard Böckle