Various ways to obtain a polynomial equation with one catalytic variable
主 讲 人 ：许睿捷 助理研究员
活动时间：12月19日15时00分
地 点 ：伟德bv1946D203报告厅
讲座内容：
In combinatorial literatures, discrete difference equations are always called polynomial equation with one catalytic variable. Under some mild conditions, it is possible to find a unique formal series solution. The solving strategy was first proposed in 2006 by MIREILLE BOUSQUET-MÉLOU and many problems was solved in this framework.
In this talk， I would like to introduce different ways to achieve a polynomial equation with one catalytic variable. I will introduce the ideas without the giving full proofs. I pick examples from different literatures by MIREILLE BOUSQUET-MÉLOU, ANDREW ELVEY PRICE, Kilian Raschel and also my recent work. The examples incudes lattice walks in different domains and some graph enumeration problems.
主讲人介绍：
许睿捷是北京雁栖湖应用数学研究院的助理研究员。博士毕业于墨尔本大学，随后在北京雁栖湖应用数学研究院做博后，助理研究员。主要研究是离散的网格游走模型。主要使用的方法是代数组合中的kernel method，同时也会涉及到用一些椭圆函数和反常积分的方法求解。