Algebra and Combinatorics Seminar

Date: March 29, 2019

Time: 3:00PM - 3:50PM

Location: BLOC 628

Speaker: Ayo Adeniran, TAMU

Title: Combinatorial Theory of Goncarov polynomials

Abstract: The concept of Exponential families deals with the question of counting structures which are built out of connected pieces. Polynomials of binomial type are sequences of polynomials which obey a binomial-type relation. These types of polynomials are well studied and they show up in the enumeration of exponential families. On the other hand, Goncarov polynomials arise in interpolation theory and this concept was generalized by the work of Lorentz, Tringali and Yan(2018). Given any binomial-type sequence associated with an exponential family, there is a unique Goncarov polynomial sequence associated with this family. It turns out that this Goncarov sequence helps serve as a basis for counting u-parking functions. This is joint work with Catherine Yan.