Syntomic complexes of regular rings

Akhil Mathew (University of Chicago)

19-Sep-2022, 19:00-20:00 (3 years ago)

Abstract: Syntomic complexes are a form of p-adic motivic cohomology that filter p-adic \’etale K-theory (or topological cyclic homology), and which are defined in terms of prismatic cohomology. I will explain a description of the syntomic complexes of p-torsionfree regular rings, based on a mixed characteristic analog of the Cartier isomorphism, closely related to the Segal conjecture for THH. (Joint with Bhargav Bhatt.)

algebraic topology

Audience: researchers in the topic

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