Talk page

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

Speaker:
Tony Pantev

Abstract:
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.

Link:
https://www.ias.edu/video/homolog-2017/0412-TonyPantev