EVENT DETAILS AND ABSTRACT

Title: Flat bundles, harmonic metrics and singular affine structures
Speaker: Adam Jacob
Speaker Info: Harvard University
Brief Description:
Special Note:
Abstract:

There is a natural correspondence between holomorphic bundles over complex manifolds and flat bundles over affine manifolds. More specifically, because an elliptic K3 surface can be viewed as a torus fibration over P^1, away from the singular fibers a torus invariant holomorphic bundle reduces to a flat bundle over punctured P^1. In this talk I will describe and solve the reduction of the Hermitian-Yang-Mills equation on this Riemann surface, and discuss its relation to twisted harmonic metrics and mirror symmetry. This is joint work with T.C. Collins and S.-T. Yau.