Sushmita Venugopalan: Tropical curve counting on almost toric manifolds

Date: 2024-06-25

Time: 15:00 - 16:00


Sushmita Venugopalan, The Institute of Mathematical Sciences, Chennai


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.