COLLOQUIUM

DEPARTMENT OF MATHEMATICS AND STATISTICS

OAKLAND UNIVERSITY

ROCHESTER, MICHIGAN  48309

Li Li

 Oakland University

                                                                                      

Singularities of Schubert Varieties

 Abstract

I will first explain the definition of Schubert varieties and some of its geometric and combinatorial properties. Then the talk will focus on two invariants of Schubert varieties which are polynomials defined on pairs of permutations in the symmetric group. The first invariant is the celebrated Kazhdan-Lusztig polynomials defined using Hecke algebras. The second invariant is the h-polynomials of the local rings of Schubert varieties. We introduced a combinatorial concept called "drift configuration" which characterizes the second invariant for covexillary Schubert varieties, and we use this characterization to give a relation between the above two invariants. This is based on joint work with Alex Yong.

Thursday, March 31, 2011

2:30 – 3:30 P.M.

372 Science and Engineering Building

(Refreshments at 2:00-2:30 PM in the kitchen area adjacent to 368 SEB)