Introduction to Science Fiction and q,t Catalan Numbers
发布时间：2024年07月31日
浏览次数：3412
发布者: Wenqiong Li
主讲人： Jaeseong Oh (Korea Institute For Advanced Study)
活动时间： 从 2024-08-16 10:00 到 11:00
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
Macdonald polynomials form an important family of symmetric functions due to their connections to representation theory, geometry, probability theory, and combinatorics. To study these polynomials, Bergeron and Garsia introduced the Science Fiction conjecture. In this talk, I will introduce Macdonald intersection polynomials that arise in the context of the Science Fiction conjecture and explore their relation to q,t Catalan numbers. If time permits, I will also present new discoveries on extending the Science Fiction conjecture and a new proof of the Loehr-Warrington conjecture. Based on joint works with Seung Jin Lee and Donghyun Kim.
