Title	Sums of squares and quadratic persistence
Creator	Smith, Gregory G.
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-27T16:50
Description	We bound the Pythagoras number of a real projective subvariety: the smallest positive integer $r$ such that every sum of squares of linear forms in its homogeneous coordinate ring is a sum of a most $r$ squares. We will describe three distinct upper bounds involving known invariants. In contrast, our lower bound depends on a new invariant called quadratic persistence. This talk is based on joint work with Greg Blekherman, Rainer Sinn, and Mauricio Velasco.
Extent	28.0 minutes
Subject	Mathematics; Operations research, mathematical programming; Algebraic geometry; Control/Optimization/Operation Research
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Queen's University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-11-24
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0385851
URI	http://hdl.handle.net/2429/72387
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

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