Printable PDF
Department of Mathematics,
University of California San Diego

****************************

Math 278C - Optimization Seminar

Lawrence Fialkow

State University of New York

The core variety of a multi sequence: some examples

Abstract:

In joint work with G. Blekherman we proved that a truncated multisequence $y$ of degree $m$ has a representing measure in the Truncated Moment Problem if and only if its core variety $V(y)$ is nonempty, in which case $V(y)$ coincides with the union of the supports of all representing measures. In general, for a given numerical sequence $y$, it may be quite difficult to compute $V(y)$ or even to determine if it is nonempty. We illustrate some cases where we can compute $V(y)$ or can otherwise describe it concretely.

Host: Jiawang Nie

January 13, 2017

2:00 PM

AP&M 7321

****************************