Mirror symmetry for moduli of flat bundles and non-abelian Hodge theory

Homological Mirror Symmetry (minicourse)
Topic:Mirror symmetry for moduli of flat bundles and non-abelian Hodge theory
Speaker:Tony Pantev
Affiliation:University of Pennsylvania
Date:Friday, April 14
Time/Room:10:45am - 12:00pm/S-101
Video Link:https://video.ias.edu/homologmirrorsym/2017/0414-TonyPantev

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.