时间：5月23日早上9：00-10：00

地点：数学实验室

Abstract: The so-called Schubert calculus deals with (equivariant) cohomology of flag varieties. A systematic way of dealing with Schubert calculus by using Hecke-type algebras was started by Demazure and Bernstein-Gelfand-Gelfand, and later continued and generalized by Arabia, Kostant-Kumar, Lusztig, Bressler-Evens. In the last 10 years it was then generalized by myself with Calmes, Savage and Zainoulline. Our work studies general oriented cohomology theory of flag varieties, and can be applied to simplify and generalize classical results on singular cohomology and K-theory of flag varieties. In this talk I will explain the main idea in this series of work.