Convex Geometry of the Truncated Moment Problem

High Dimensional Seminar
Wednesday, February 13, 2019 - 3:00pm for 1 hour (actually 50 minutes)
Skiles 006
Greg Blekherman – Georgia Tech
Galyna Livshyts

Moment problem is a classical question in real analysis, which asks whether a set of moments can be realized as integration of corresponding monomials with respect to a Borel measure. Truncated moment problem asks the same question given a finite set of moments. I will explain how some of the fundamental results in the truncated moment problem can be proved (in a very general setting) using elementary convex geometry. No familiarity with moment problems will be assumed. This is joint work with Larry Fialkow.