【5.22-5.29】Kazhdan–Lusztig–Stanley Polynomials: Intersection Cohomology Without Spaces

发布时间:2026-04-22来源:几何与物理研究中心中文网页浏览次数:12

报告人:桂弢(北京大学

时间:2026年5月22、29日14:00-17:00

地点:5月22日:物质科研楼C1124

          5月29日:东区五教5501


 

We give an introduction to the theory of Kazhdan--Lusztig--Stanley polynomials, which compute the graded dimensions of certain intersection cohomology groups even when the corresponding variety does not exist. These polynomials encode deep combinatorial and representation-theoretic information.  Important examples arise from Coxeter groups, polytopes, and matroids. We will present some open conjectures in each of these settings.