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Some recent advances in topological Hochschild homology

Published 3 Jan 2021 in math.AT, math.AG, and math.KT | (2101.00668v3)

Abstract: We give an account of the construction of the Bhatt--Morrow--Scholze motivic filtration on topological cyclic homology and related invariants, focusing on the case of equal characteristic $p$ and the connections to crystalline and de Rham--Witt theory.

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