Event
Carlo Scarpa (UQAM)
Wednesday, April 5, 2023 15:00to16:00
Burnside Hall
Room 1234, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA
Title: K盲hler forms and B-fields.
Abstract: Motivated by some constructions in Mirror Symmetry, we will consider the problem of finding a canonical representative of a complexified K盲hler class on a compact complex manifold. In 2020, Schlitzer and Stoppa proposed a geometric PDE, whose solutions conjecturally give the required canonical representative of the class. I will explain a variational framework in which to consider their equation, focussing on an associated system of geodesic equations for K盲hler potentials. In particular, I will explain how to prove uniqueness of solutions of the PDE in the toric setting.