Pengfei Huang , Tao Su , Hao Sun , Mengxue Yang

Lutian Zhao

Wednesday, November 18, 2026 2:30 PM - 4:00 PM

A7-101

Zoom 230 432 7880 (BIMSA)

Higgs bundles on a curve connect algebraic geometry, symplectic geometry, and supersymmetric gauge theory. In this talk, I will introduce Higgs bundles and the Hitchin fibration, beginning with simple examples. When Higgs fields are allowed to have poles, their residue orbits determine symplectic leaves in the moduli space. I will explain how varying these residues produces deformations that preserve the dimension of the leaves, and how sheets of a Lie algebra organize these deformations. We construct the corresponding families using Hamiltonian reduction and show that their symplectic periods vary linearly with the deformation parameters. This gives a geometric realization of the mass-like deformations studied by Balasubramanian and Distler. The talk is based on joint work with Georgios Kydonakis.