I will explain how Lagrangian foliations in shifted symplectic geometry give rise to global potentials. I will give natural constructions of isotropic foliations on moduli spaces and will discuss the associated potentials. I will also give applications to the moduli of representations of fundamental groups, higher dimensional Chern-Simons functionals, and non-abelian Hodge theory. This is based on joint works with Calaque, Katzarkov, Toen, Vaquie, and Vezzosi.
Homological Mirror Symmetry
Tuesday, September 19, 2017 - 4:30pm
Tony Pantev
University of Pennsylvania