Analysis Seminar: "Matrix Convex Sets & Dilations"

Abstract: Matrix convexity is a generalization of convexity that applies to free sets, which are sets of matrix tuples of various dimensions. Each matrix convex set has a scalar level, a subset of Euclidean space that is convex in the usual sense. To what extent does the first level determine the whole set, and how is this quantified? I will discuss a few specific questions related to this theme in the context of dilation problems. This is joint work with Orr Shalit and Baruch Solel.

Host: John McCarthy