Academics

On Filtrations for Topological (Negative, or Periodic) Cyclic Homology

Time:2023-11-30 Thu 15:30-17:00

Venue:YMSC-Jingzhai-304 ZOOM:638 227 8222(PW: BIMSA)

Organizer:Sheng Mao, Nanjun Yang

Speaker:Jingbang Guo Shanghai Center for Mathematical Sciences

Abstract

The theory of topological cyclic homology, on the one hand, is a vital tool for the computations of algebraic K-theory, on the other hand, is itself interesting in respect of the relation to the various p-adic cohomology theories, or essentially to the prismatic cohomology theory. The purpose of this talk is to briefly provide a general introduction of topological cyclic homology with the aforemetioned perspectives, including mainly the basic definitions, the cyclotomic trace relating algebraic K-theory and topological cyclic homology, and the (motivic) filtrations relating topological (negative, or periodic) cyclic homology and prismatic cohomology. If time permits, a computation of topological cyclic homology for local fields through the descent-style technique might also be touched upon.

DATENovember 30, 2023
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