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Quadratic forms and Brauer groups Parimala, Raman

Description

The Clifford algebras provide a connection between the study of quadratic forms and the Brauer group. We explain how a bound for the u-invariant of a field can be given purely in terms of certain period-index bounds for the Brauer group. We survey some progress in finding such bounds for function fields of p-adic curves. There are open questions in this direction for function fields of curves over number fields.

Item Metadata

Title	Quadratic forms and Brauer groups
Creator	Parimala, Raman
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-11-13T09:00
Description	The Clifford algebras provide a connection between the study of quadratic forms and the Brauer group. We explain how a bound for the u-invariant of a field can be given purely in terms of certain period-index bounds for the Brauer group. We survey some progress in finding such bounds for function fields of p-adic curves. There are open questions in this direction for function fields of curves over number fields.
Extent	56.0 minutes
Subject	Mathematics; Algebraic geometry; Associative rings and algebras
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Emory University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-05-12
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0390456
URI	http://hdl.handle.net/2429/74404
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Item Media

201911130900-Parimala_lrv.mp4 -- 300.51MB

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Rights

Attribution-NonCommercial-NoDerivatives 4.0 International