题目：Bumpless Pipedreams, Reduced Word Tableaux and Stanley Symmetric Functions

　　报告人：范久瑜 博士

　　报告时间：10月29日上午10点—11点

　　报告地点：理学院206

　　报告摘要：Thomas Lam, Seungjin Lee and Mark Shinozono (Back stable Schubert calculus, arXiv:1806.11233v1) introduced the structure of bumpless pipedreams.EG-pipedreams are a special kind of bumpless pipedreams. Lam, Lee and Shimozono proposed the problem of _nding a shape preserving bijection between the set of EG-pipedreams of a permutation w and the set of reduced word tableaux of w. In this talk, we present such a bijection. We _rst recall the de_nition and backgrounds of reduced word tableaux and bumpless pipedreams, including Coxeter-Knuth insertion, Lascoux-Schutzenberger trees,Little's bumping algorithm, Schubert polynomials and back stable Schubert polynomials. Then we introduce the modi_ed Lascoux-Schutzenberger trees and Edelman-Greene trees, which are the main structure of our bijection. Finally,we give a sketch of our bijection.

　　报告人简介：范久瑜博士毕业于南开大学组合数学中心，现在是四川大学数学学院讲师，研究领域为代数组合学，目前的研究课题主要涉及Schubert演算的组合学，曾于2017年至2018年期间访问了美国伊利诺伊大学香槟分校（UIUC）。