Date：October 17th, 16:15-17:15

Location：Lecture hall 210,  Building 2, Hainayuan

Abstract：

Many important posets (partially ordered sets) in combinatorics have algebriac interpretations. We will go over three families of examples: toric varieties, Schubert varieties and matroid Schubert varieties. We will discuss how to translate some of the combinatorical invariants into the geometric ones, and the application of intersection cohomology groups in solving combinatorical problems.