
Title: Symplectic geometry, foliations, and potentials
Speaker: Tony Pantev (UPenn)
Abstract: I will explain how Lagrangian foliations in (shifted) symplectic geometry give rise to global potentials. I will also give natural constructions of isotropic foliations on moduli spaces and will discuss the associated potentials. I will give applications to the moduli of representations of fundamental groups and to non-abelian Hodge theory. This is based on joint works with Calaque, Katzarkov, Toen, Vaquie, and Vezzosi.