Title: Recurrence relations for the generalized Laguerre and Charlier orthogonal polynomials and discrete Painlevé equations
Speaker: Anton Dzhamay教授，The University of Northern Colorado， 北京雁栖湖应用数学研究院

Abstract: We consider two examples of certain recurrence relations, or nonlinear discrete dynamical systems, that appear in the theory of orthogonal polynomials, from the point of view of Sakai’s geometric theory of Painlevé equations. Of particular interest is the fact that both recurrences are regularized on the same family of rational algebraic surfaces, but at the same time their dynamics are non-equivalent. This is a joint work with Galina Filipuk, Xing Li, and Da-jun Zhang.

Time： 15:00---16:00, 10 May 2024

地点: 逸夫楼1537.