Title	Hyperbolicity, stability, and determinantal representations
Creator	Vinnikov, Victor
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-27T08:59
Description	I will survey some topics about hyperbolic polynomials and their determinantal representations, and hyperbolicity cones and representations thereof by linear matrix inequalities (spectrahedral cones). Time permitting I will then discuss two neighbouring topics: (a) a generalization of hyperbolicity from hypersurfaces to higher codimensional subvarieties, and a related class of determinantal representations (that yield linear determinantal representations of the Chow form); (b) complex multivariate polynomials that are stable (i.e., zero free) with respect to the unit polydisc, and determinantal representation that witness stability.
Extent	70.0 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: Ben Gurion University of the Negev
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	10.14288/1.0385847
URI	http://hdl.handle.net/2429/72383
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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Hyperbolicity, stability, and determinantal representations Vinnikov, Victor

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