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Spectrahedra

Introductory Workshop: Geometric and Topological Combinatorics September 05, 2017 - September 08, 2017

September 08, 2017 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Cynthia Vinzant (North Carolina State University)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • semidefinite program

  • convexity

  • semialgebraic sets

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

17-Vinzant

Abstract

A spectrahedron is an affine slice of the cone of positive semidefinite matrices. Spectrahedra form a rich class of convex bodies that are computationally tractable and appear in many areas of mathematics. Examples include polytopes, ellipsoids, and more exotic convex sets, like the convex hull of some curves. I will introduce the theory of spectrahedra with many examples and discuss some applications in distance geometry and combinatorial optimization.

Supplements No Notes/Supplements Uploaded
Video/Audio Files

17-Vinzant

H.264 Video 17-Vinzant.mp4 137 MB video/mp4 rtsp://videos.msri.org/data/000/029/369/original/17-Vinzant.mp4 Download
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