12月02日 曾江教授学术报告(数学与统计学院)

时间:2019-11-28浏览:15设置

报 告 人: 曾江 教授

报告题目:Euler numbers and André Permutations

报告时间:2019年12月2日(周一)上午9:00

报告地点:静远楼1506学术报告厅

主办单位:数学与统计学院、科学技术研究院

报告人简介:

        曾江,法国里昂第一大学教授,博士生导师,师从于组合数学国际权威 Dominique Foata教授。他曾是美国普林斯顿高等研究院的访问学者。主要研究组合数学、特殊函数、数论,在Journal of Combinaotrial Theory Series A, Advances in Applied Mathematics,Transactions of the American Mathematical Society,Proceedings of the London Mathematical Society,SIAM Journal on Discrete Mathematics,SIAM Journalon Mathematical Analysis,Journal of Number Theory等权威期刊发表学术论文100多篇,现任杂志 Seminaire Lotharingien de Combinatoire编委,Journal of Combinatorics and Number Theory的主编

报告摘要:

         The Euler numbers are the coeffcients in the Taylor expansion of tan x+sec x. A classical result of Andre says that these coeffcients enumerate alternating permutations. In the 1970's Foata and Shcutzenberger found another family of permutations, called Andre permutations, also enumerated by Euler numbers and proved that the descent polynomials of Andre permutations are related to the gamma-coeffcients of Eulerian polynomials. In this talk, I will present a (p; q)-analogue of their result using the combinatorial theory of continued fractions, which gives a satisfactory answer to a conjecture of Branden on the gamma-coeffcients of his (p; q)-analogue of Eulerian polynomials. In particular, this answers a recent question of G.N. Hanon his q-Euler numbers


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