Speaker
Sushmita Venugopalan, The Institute of Mathematical Sciences, Chennai
Abstract
Holomorphic disks in almost toric four-manifolds correspond to Mikhalkin-style tropical graphs on the base. We explain this correspondence via tropical degenerations of holomorphic curves under a symplectic multiple cut. As explicit examples, we compute the potential of monotone Lagrangian torus fibers in del Pezzo surfaces using Vianna’s description of del Pezzo surfaces as almost toric manifolds.