School of Mathematics Colloquium
Thursday, November 11, 2010 - 11:05am
1 hour (actually 50 minutes)
Convex algebraic geometry is an emerging ﬁeld at the interface of convex optimizationand algebraic geometry. A primary focus lies on the mathematical underpinnings ofsemidefinite programming. This lecture oﬀers a self-contained introduction. Startingwith elementary questions concerning multifocal ellipses in the plane, we move on todiscuss the geometry of spectrahedra and orbitopes, and we end with recent resultson the convex hull of a real algebraic variety.