Chi Hong Chow, part 1, Flag varieties and mirror symmetry

We will discuss the equivariant quantum cohomology of an arbitrary flag variety G/P. First, we explain a new proof of Peterson-Lam-Shimozono's theorem via computing Savelyev-Seidel's map. Second, we explain how to prove Peterson's presentation by composing the above map with Yun-Zhu's/Bezrukavnikov-Finkelberg-Mirkovic's isomorphism. Finally, we explain how to prove the D-module mirror conjecture by taking deformation quantizations of the above maps.
Based on 2110.09985/, 2210.17382/ , 2311.15523.