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Equivariant Witt vectors, real topological Hochschild homology, and norms Angelini-Knoll, Gabriel
Description
Recent work of Blumberg-Gerhardt-Hill-Lawson defines Witt vectors for Green functors using an algebraic analogue of topological Hochschild homology relative to a finite subgroup of the circle, described in terms of the Hill-Hopkins-Ravenel norm. In my talk, I will make explicit the perspective that real topological Hochschild homology is the norm from the cyclic group of order two to O(2). It is then natural to construct a theory of Witt vectors for Hermitian Mackey functors. I will then illustrate the computability of this theory with examples. This is based on joint work with T. Gerhardt and M. Hill.
Item Metadata
| Title |
Equivariant Witt vectors, real topological Hochschild homology, and norms
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2020-03-05T13:30
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| Description |
Recent work of Blumberg-Gerhardt-Hill-Lawson defines Witt vectors for Green functors using an algebraic analogue of topological Hochschild homology relative to a finite subgroup of the circle, described in terms of the Hill-Hopkins-Ravenel norm. In my talk, I will make explicit the perspective that real topological Hochschild homology is the norm from the cyclic group of order two to O(2). It is then natural to construct a theory of Witt vectors for Hermitian Mackey functors. I will then illustrate the computability of this theory with examples. This is based on joint work with T. Gerhardt and M. Hill.
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| Extent |
66.0 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Freie Universitaet Berlin
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| Series | |
| Date Available |
2020-09-22
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0394463
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Postdoctoral
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International