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TC and syntomic cohomology Mathew, Akhil

Description

I will describe some structural properties of the motivic filtration on topological cyclic homology constructed by Bhatt--Morrow--Scholze. In particular, I will describe an identification of the graded pieces (in low weights integrally and rationally in all weights) with syntomic cohomology, as introduced by Fontaine--Messing and Kato. Joint with Benjamin Antieau, Matthew Morrow, and Thomas Nikolaus.

Item Metadata

Title
TC and syntomic cohomology
Creator
Mathew, Akhil
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2020-03-02T13:31
Description
I will describe some structural properties of the motivic filtration on topological cyclic homology constructed by Bhatt--Morrow--Scholze. In particular, I will describe an identification of the graded pieces (in low weights integrally and rationally in all weights) with syntomic cohomology, as introduced by Fontaine--Messing and Kato. Joint with Benjamin Antieau, Matthew Morrow, and Thomas Nikolaus.
Extent
60.0 minutes
Subject
Mathematics; Category theory; homological algebra; K-theory; Algebraic topology
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: University of Chicago
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2020-09-20
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0394448
URI
http://hdl.handle.net/2429/76106
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Postdoctoral
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International