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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
 
 

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