Maximilian Hauck (MPIM Bonn): Stacks in the p-adic Hodge theory of formal schemes

I will briefly review the stacky approach to p-adic cohomology theories due to Bhatt–Lurie and Drinfeld using a new view on the filtered prismatisation recently found by Gardner–Madapusi. Then I will show how to use these tools to obtain a new proof of the Beilinson fibre square of Antieau–Mathew–Morrow–Nikolaus and a generalisation of a comparison theorem between rational arithmetic étale cohomology and crystalline cohomology of Colmez–Niziol.

Zoom (635 7328 0984, Kenncode: kleinste sechsstellige Primzahl