|Homological Mirror Symmetry (minicourse)|
|Topic:||Mirror symmetry for moduli of flat bundles and non-abelian Hodge theory|
|Affiliation:||University of Pennsylvania|
|Date:||Wednesday, April 12|
|Time/Room:||10:45am - 12:00pm/S-101|
I will discuss a construction of the homological mirror correspondence on algebraic integrable systems arising as moduli of flat bundles on curves. The focus will be on non-abelian Hodge theory as a tool for implementing hyper Kaehler rotations of objects in the Fukaya category. I will discuss in detail a specific example of the construction building automorphic sheaves on the moduli space of rank two bundles on the projective line with parabolic structure at five points. This is a joint work with Ron Donagi.