Mathematics Colloquia and Seminars
Spectrahedra and their geometryAlgebraic Geometry
|Speaker:||Claus Scheiderer, Universität Konstanz|
|Start time:||Wed, Mar 20 2019, 1:10PM|
A spectrahedron is an affine-linear slice of the cone of positive semidefinite real symmetric matrices. Equivalently, it is the solution set of a linear matrix inequality. Spectrahedra have received much attention since they are the feasible sets of
semidefinite programming. Many problems from a wide range of applications can be phrased as or approximated by a semidefinite program. In my talk I will first give a general introduction to spectrahedra, and then focus on Gram spectrahedra, which arespectrahedra that parametrize the sum-of-squares representations of fixed polynomials.