Abstract:

Spherical objects were first introduced in 2000 by Seidel and Thomas as mirror symmetric analogues of Lagrangian spheres on a symplectic manifold. A well-known example of a spherical object is the structure sheaf of a (-1, -1) 3-fold flopping curve. In this talk I will explain how, using deformation theory, Toda was able to relate more general flopping curves to this construction. Time permitting, I will also explain how this result was generalised by Donovan and Wemyss using noncommutative deformations