Non UBC
DSpace
James Saunderson
2019-11-24T10:31:54Z
2019-05-27T11:16
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).
https://circle.library.ubc.ca/rest/handle/2429/72384?expand=metadata
35.0 minutes
video/mp4
Author affiliation: Monash University
Banff (Alta.)
10.14288/1.0385848
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Researcher
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Operations Research, Mathematical Programming, Algebraic Geometry, Control/Optimization/Operation Research
Limitations on the expressive power of convex cones without long chains of faces
Moving Image
http://hdl.handle.net/2429/72384