Title: Eulerian polynomials and excedance statistics
Speaker: Jiang Zeng （Université de Lyon）
Time: 10:30-11:30, August17
Location: Room 201, Ming De Building
Abstract: A formula of Stembridge states that the permutation peak polynomials and descent polynomials are connected via a quadratique transformation. Rephrasing the latter formula with permutation cycle peaks and excedances we are able to prove a series of general formulas expressing polynomials counting permutations by various excedance statistics in terms of refined Eulerian polynomials. Our methods include permutation enumeration techniques involving variations of classical bijections from permutations to Laguerre histories, explicit continued fraction expansions of combinatorial generating functions. This talk is based on joint work with Bin HAN and Jianxi MAO.
