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Oberseminar Topologie: Akhil Mathew (University of Chicago, U.S.A.): Syntomic complexes and TC of regular rings.

Wednesday, 18.05.2022 16:00 im Raum Zoom

Mathematik und Informatik

Bhatt--Morrow--Scholze constructed a motivic filtration on the topological cyclic homology of an animated ring whose associated graded quotients (called syntomic complexes) are a sort of Frobenius fixed points of prismatic cohomology. I will describe an identification of the syntomic complexes in the case of a regular ring, with the p-adic \'etale Tate twists of Geisser--Sato--Schneider. The key ingredient is a mixed characteristic analog of the Cartier isomorphism (essentially, the Segal conjecture in THH). This is joint work with Bhargav Bhatt.



Angelegt am Tuesday, 22.03.2022 15:01 von boeckena
Geändert am Thursday, 24.03.2022 15:36 von boeckena
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