Title	Limitations on the expressive power of convex cones without long chains of faces
Creator	Saunderson, James
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-27T11:16
Description	Recently Averkov showed that various convex cones related to nonnegative polynomials do not have K-lifts (representations as projections of linear sections of K) where K is a Cartesian product of positive semidefinite cones of "small" size. In this talk I'll discuss an extension of this result that says that convex bodies with certain neighborliness properties do not have K-lifts whenever K is a Cartesian product of cones, each of which does not have any long chains of faces (such as smooth cones, low-dimensional cones, and cones defined by hyperbolic polynomials of low degree).
Extent	35.0 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: Monash 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	10.14288/1.0385848
URI	http://hdl.handle.net/2429/72384
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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