Lehmer Codes and Poincaré Polynomials of Schubert Varieties in Types A and B
Time: 2026-04-09
Published By: He Liu
Speaker(s): Gaston Burrull (BICMR)
Time: 15:00-15:45 April 10, 2026
Venue: Room 77201, Jingchunyuan 78, BICMR
I will begin with an introduction to the combinatorics of Bruhat orders in types A and B, including the role of Lehmer codes. I will then give an overview of Bolognini–Sentinelli's work characterizing the Poincaré polynomials of smooth Schubert varieties in type A. Finally, I will show how to extend this characterization to type B via the combinatorics of reflected bounded growth sequences.
