Ramanujan Auditorium
Symplectic geometry and vortices
Christopher Woodward
Rutgers University, USA
Vortices are solutions in gauge theory to an equation
involving a connection and section of a vector bundle, which generalize the anti-self-dual Yang-Mills equations on a four-manifold. I will talk about some recent results on classification of vortices on the plane, joint with Venugopalan, of Narasimhan-Seshadri type, and sketch some applications to holomorphic curves in symplectic quotients.
Done