## Algebra and Combinatorics Seminar

**Date:** September 15, 2017

**Time:** 3:00PM - 3:50PM

**Location:** BLOC 117

**Speaker:** Michael Anshelevich, Texas A&M University

**Title:** *Product formulas on posets and Wick products.*

**Abstract:** We will construct "incomplete" version of several familiar posets, and prove a product formula on posets. Then we will apply these results to the study of Wick products corresponding to the Charlier, free Charlier, and Laguerre polynomials. For the fourth and perhaps most interesting example of Wick products, I do not know the appropriate poset structure. However their inversion and product formulas can still be obtained by less conceptual techniques. As a consequence, we obtain the formula for the linearization coefficients of the free Meixner polynomials.