Duality with Frobenius and Fp-étale ccohomology (C02)

• Subject Area: Mathematics
• Term: since 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 444845124

Building on the progress achieved during the first funding period, the next step is to construct a Grothendieck–Serre duality and a Riemann–Hilbert correspondence for general morphisms of F-finite noetherian schemes, which are compatible with the three developed cohomological operations. Furthermore, a central objective will be to investigate more general coefficient systems and to explore the connection between mod p theory and p-adic theories, with parallel investigations addressing applications in birational geometry, commutative algebra, and arithmetic geometry.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 326: Geometry and Arithmetic of Uniformized Structures (GAUS)
• Applicant Institution: Goethe-Universität Frankfurt am Main
• Project Heads: Professor Manuel Blickle, Ph.D.; Professor Dr. Gebhard Böckle