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Homological Mirror Symmetry

Tuesday, September 12, 2017 - 4:30pm

Tony Pantev

University of Pennsylvania


University of Pennsylvania


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.