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The Generic Clifford Algebra and its Brauer Class Ure, Charlotte
Description
The Clifford algebra is an object intimately connected with the theory of quadratic forms and orthogonal groups. This classical notion of Clifford algebras associated to quadratic forms can be generalized to higher degree. In this talk, I will discuss a generic version of the Clifford algebra associated to a binary cubic form. This algebra defines a nontrivial Brauer class in the Brauer group of a relative elliptic curve â the Jacobian of the universal genus one curve obtained from the Clifford algebra. This is joint work in progress with Rajesh Kulkarni.
Item Metadata
Title |
The Generic Clifford Algebra and its Brauer Class
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2020-09-09T12:24
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Description |
The Clifford algebra is an object intimately connected with the theory of quadratic forms and orthogonal groups. This classical notion of Clifford algebras associated to quadratic forms can be generalized to higher degree. In this talk, I will discuss a generic version of the Clifford algebra associated to a binary cubic form. This algebra defines a nontrivial Brauer class in the Brauer group of a relative elliptic curve â the Jacobian of the universal genus one curve obtained from the Clifford algebra. This is joint work in progress with Rajesh Kulkarni.
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Extent |
27.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Virginia
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Series | |
Date Available |
2021-03-09
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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 |
10.14288/1.0396072
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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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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International