Algebra and Combinatorics Seminar

Date: November 30, 2022

Time: 2:30PM - 3:30PM

Location: BLOC 302

Speaker: Natasha Blitvic, Queen Mary University of London

Title: Moment sequences in combinatorics

Abstract: Take your favorite integer sequence. Is this sequence a sequence of moments of some probability measure on the real line? We will look at a number of interesting examples (some proven, others merely conjectured) of moment sequences in combinatorics. We will consider ways in which this positivity may be expected (or surprising!), the methods of proving it, and the consequences of having it. The problems we will consider will be very simple to formulate, but will take us up to the very edge of current knowledge in combinatorics, 'classical' probability, and noncommutative probability.