Inverse Moment Problems: The Crossroads of Analysis, Algebra, Discrete Geometry and Combinatorics
Month: November 2014
Date: November 11--January 25
Name: Inverse Moment Problems: The Crossroads of Analysis, Algebra, Discrete Geometry and Combinatorics
Location: Institute for Mathematical Sciences, National University of Singapore, Singapore.
Applications of moments of measures in polynomial optimization led to a number of breakthroughs in optimization and real algebraic geometry, as well as to better understanding of ways to encode measures. Other similar threads are recently seen in the theory of integration on polytopes and counting of integer points in polytopes, as well as in quantum computing. The aim of the program is to futher investigate relations between these topics and inverse moment problems, i.e., questions of reconstructing measures from a set of its moments, which are traditionally attacked by purely analytic tools. Activities will include two 4-5 day research conferences, one quantum computing workshop, and one graduate student winter school/workshops.