Abstract: 

In this talk, we will discuss Schubert calculus on smooth hyperplane sections in partial flag varieties, particularly focusing on (co)adjoint varieties and (classical) Grassmannians.  We will focus on two key topics: their Betti numbers and the monodromy actions. This talk is based on the joint work with Sergey Galkin, Naichung Conan Leung and Changzheng Li.