Insong Choe, Minimal Rational Curves on the Moduli Spaces of Symplectic and Orthogonal Bundles over a Curve

Let M be the moduli of vector bundles over a curve of fixed determinant. It is known that the Hecke curves are rational curves of minimal degree on M passing through a general point of M. We prove a similar result for the moduli of symplectic and orthogonal bundles. In particular, I explain how to construct an analogue of Hecke curves on the symplectic and orthogonal settings, and how to parameterize them. This is based on a joint work with Kiryong Chung and Sanghyeon Lee.