Conan Leung, CUHK, Hong Kong

Moduli of bundles over rational surfaces and elliptic curves

 

Abstract:

It is known from the work of Friedman-Morgan-Witten and Donagi that del Pezzo surfaces of degree 9? n one-to-one correspond to flat En bundles over an elliptic curve. In this talk I will explain my joint work with Jiajin Zhang, in which we construct G-bundles over a broader class of rational surfaces for any simple, compact and simply-connected Lie group, simply laced or not. Then we extend the above correspondence to all flat G bundles over an elliptic curve.