Mirror symmetries for parabolic Hitchin systems, from classical to global, I

Abstract: 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).

algebraic geometryrepresentation theory

Audience: researchers in the topic

Algebra and Geometry Seminar @ HKUST

Series comments: Algebra and Geometry seminar at the Hong Kong University of Science and Technology (HKUST).

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