**Speaker:** Alexander Berkovich

**Title:** On some elementary polynomial identities Involving q-trinomial coefficients

**Date/Time: **November 8, 2018 / 11:40 - 12:30

**Place:** FENS 2019

**Abstract:** I will show how to use q- binomial theorem in order to prove some simple polynomial identities involving q-trinomial coefficients. Using Trinomial Analogue of Bailey Lemma on these identities yields the Capparelli partition theorems. I conclude with a display of new infinite hierarchy of multisum = product identities involving bases q,q^2,q^6 . This talk is based on my recent joint work with Ali K. Uncu.

**Contact:** Michel Lavrauw