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Dirac geometry Hesselholt, Lars
Description
This talk is a report on joint work with Piotr Pstragowski. Our purpose is to argue that, in higher algebra, there exists an intrinsic structure akin to spin that manifest itself through the fact that the homotopy groups of a commutative algebra form a commutative algebra in the symmetric monoidal category of graded abelian groups. The geometry built from such algebras, which we call Dirac geometry, is a natural extension of $\mathbb{G}_m$-equivariant geometry in which half-integer Serre twists exist.
Item Metadata
Title |
Dirac geometry
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2020-03-03T09:00
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Description |
This talk is a report on joint work with Piotr Pstragowski. Our purpose is to argue that, in higher algebra, there exists an intrinsic structure akin to spin that manifest itself through the fact that the homotopy groups of a commutative algebra form a commutative algebra in the symmetric monoidal category of graded abelian groups. The geometry built from such algebras, which we call Dirac geometry, is a natural extension of $\mathbb{G}_m$-equivariant geometry in which half-integer Serre twists exist.
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Extent |
68.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Nagoya University and University of Copenhagen
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Series | |
Date Available |
2020-09-21
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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 |
10.14288/1.0394451
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International