Fall 2011, Thursdays, Milner 216, 4:00-4:50 PM

Date: November 16

"  Orthogonal polynomials, simple and complex "
  Prof. Michael Anshelevich  


This talk can be roughly divided in two mini-talks. The first half is aimed at students interested in combinatorics. I will explain how objects from analysis---moments of measures---can be used to enumerate combinatorial objects, such as permutations and set partitions. Conversely, such enumeration can resolve positivity questions in analysis. Both connections involve orthogonal polynomials.

The second half of the talk is aimed at students actually interested in analysis. In it, I will explain why they should (or at least could) care about the first half, and briefly mention fancier versions of orthogonal polynomials one encounters in the study of operator algebras.