Vladimir Retakh, Rutgers University

Abstract

In 1999 M. Aigner defined Catalan-like numbers as North-West entries of powers of semi-infinite three-diagonal matrices. In this talk I will generalize this construction to various matrices over noncommutative rings and discuss properties of the corresponding generating functions. I will also consider orthogonal polynomials associated with these "numbers". Most of the results are new even in the commutative case. Joint work with A. Berenstein and M. Gekhtman.

Link to video: https://vimeo.com/806888486

Presented Via Zoom: https://rutgers.zoom.us/j/94346444480

Password: 6564120420

For further information see: https://sites.math.rutgers.edu/~zeilberg/expmath/