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

Time:2026-05-19Views:10

Reporter: Tao Gui (Peking University)

Time: 14:00-17:00, May, 22, 29, 2026

Venue: May 22: room 1124, Material Science Research Building (Section C)

             May 29: room 5501, the Fifth Teaching Building



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.