55th Westlake Math Colloquium | Changlong Zhong: Hecke-type algebras and Schubert calculus

2024-05-08 15:01:14
报告人 时间 14:00-15:30
地点 E4-233 2024
月日 05-14

Time: 14:00-15:30, Tuesday, May 14 2024

Venue: E4-233, Yungu Campus


Host: Yigeng Zhao, ITS

Speaker: Changlong Zhong, State University of New York at Albany

Biography: Changlong Zhong is an Associate Professor at the State University of New York at Albany. He graduated from the University of Southern California with a PhD in 2011 under the supervision of Thomas Geisser. He works in the field of algebraic K-theory, motivic cohomology, and cohomology of flag varieties.

Title: Hecke-type algebras and Schubert calculus

Abstract: Hecke-type algebras originated from representation theory, combinatorics, number theory, and algebraic geometry. We will focus on their relation with Schubert calculus. These algebras are generated by the so-called divided difference operators indexed by the simple roots of a root system, and they satisfy the braid relations. These algebras provided models for the equivariant generalized cohomology of flag varieties (cohomology, K-theory and elliptic cohomology).