Homological Mirror Symmetry Mini-Workshop

In this talk, we will discuss symplectomorphisms coming from Dehn twists along Lagrangian spherical manifolds. The main focus will be on the induced auto-equivalences of the Fukaya category. We will explain the auto-equivalence formula from several aspects and, in particular, provide a unified geometric understanding to spherical twist and projective twist formulae. This is a joint work in progress with Weiwei Wu.