Sangbum Yoo, Spectral Data for Principal Higgs Bundles over a Singular Curve

Spectral data for Higgs bundles over a smooth curve has been studied by several mathematicians. The studies in this direction are originated by N.J.Hitchin. Specially, it has contributed to the studies on the fibers of the Hitchin map. In this talk, I will introduce spectral data for Higgs bundles over a smooth curve and over a singular curve, and then present my ongoing project about spectral data for principal Higgs bundles over a singular curve.