Bernd Sturmfels : Convex Algebraic Geometry

Posted by Roman Shvydkoy , part of the Departmental Colloquium.

At

April 17, 2009, 3 p.m.

In

SEO 636

Abstract

Convex algebraic geometry is an emerging field at the interface of convex optimization and algebraic geometry. A primary focus lies on the geometric underpinnings of semidefinite programming. This lecture offers a self-contained introduction. Starting with elementary questions concerning multifocal ellipses in the plane, we move on to discuss singularities and projections of spectrahedra, and new algorithms for real algebraic varieties.