Truncated Moment Problems - Special Session at IWOTA 2019

July 25 - 26, 2019 at University of Lisbon, Portugal.

Main Information

This special session is part of the programme of the International Workshop on Operator Theory and its Applications (IWOTA 2019) which will be held at the Instituto Superior Técnico of University of Lisbon , Portugal, 22 - 26 July 2019. The special session takes place on July 25 and 26 in room Q4.6 of the Chemistry Building at the Instituto Superior Técnico of University of Lisbon. Directions to the venue of the session and information about the rest of the programme of IWOTA 2019 can be found here, where our special session is identified with the number 22!

Description

This special session focuses on the truncated moment problem for measures supported on finite and infinite dimensional spaces, aiming to highlight the most recent developments in this active area with a particular attention to its extraordinary variety of applications. Indeed, one of the most interesting features of the truncated moment problem is that it naturally arises from many applied questions and at the same time beautifully connects the most diverse branches of mathematics from functional analysis to real algebraic geometry, from operator theory to polynomial optimization, from probability to convex analysis, etc. This session would like to give a glimpse into the richness coming from the interplay of these different fields and perspectives on the truncated moment problem, providing a ground for further interactions. The topics of interest will include existence criteria for representing measures, quadrature formulas, sum-of-squares representations of nonnegative polynomials of bounded degree, flat extensions of positive moment matrices, Carathéodory numbers, as well as random moment problems, realizability problems in statical mechanics, applications of the moment-sos hierarchy to optimization problems, infinite graphs, packing problems, approximation of functional solutions, etc.

Organizers