### Convex Algebraic Geometry

- Series
- School of Mathematics Colloquium
- Time
- Thursday, November 11, 2010 - 11:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 269
- Speaker
- Bernd Sturmfels – UC Berkeley – bernd@math.berkeley.edu

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.