Analogue of Fomin-Stanley Algebra on Bumpless Pipedreams
发布时间：2024年06月16日
浏览次数：3606
发布者: Wenqiong Li
主讲人： Tianyi Yu (University of California, San Diego)
活动时间： 从 2024-07-16 14:00 到 15:00
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
Schubert polynomials are distinguished representatives of Schubert cells in the cohomology of the flag variety. Pipedreams (PD) and bumpless pipedreams (BPD) are two combinatorial models of Schubert polynomials. There are many classical perspectives to view PDs: Fomin and Stanley represented each PD as an element in the NilCoexter algebra; Lenart and Sottile converted each PD into a labeled chain in the Bruhat order. In this talk, we unravel the BPD analogues of both viewpoints. One application of our results is a simple bijection between PDs and BPDs via Lenart’s growth diagram.
