Convex Algebraic Geometry

Series: 
School of Mathematics Colloquium
Thursday, November 11, 2010 - 11:05
1 hour (actually 50 minutes)
Location: 
Skiles 269
,  
UC Berkeley
,  
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.