Department of Mathematics - Algebra and Geometry Seminar - Mirror symmetries for parabolic Hitchin systems, from classical to global, I

In the first talk, I will briefly review the Hitchin system's history and mirror symmetries. Then, mention our motivation for the parabolic Hitchin system. I will explain how the parabolic structures connect to nilpotent orbits. In the rest of the talk, I will explain the mirror symmetry for nilpotent orbit closures, i.e., the classical mirror symmetry. This talk is mainly based on the joint work with B. Fu and Y. Ruan (arXiv:2207.10533).