Symplectic Geometry and Mirror Symmetry Seminar: Lagrangian tori in $\mathbb {CP}^2$

Seminar | February 23 | 11 a.m.-12 p.m. | 748 Evans Hall

 Renato Vianna, Univ. Federal do Rio de Janeiro and MSRI

 Department of Mathematics

We will present an infinite series of monotone Lagrangian tori in $\mathbb {CP}^2$, which arise as fibres of almost toric fibrations (ATFs). We show how to distinguish these tori up to the action of $\mathrm {Symp}(\mathbb {CP}^2)$. Time permiting, based on a joint work with Tonkonog and Shelukhin, we will present (a 4-dimensional version) of an invariant for any Lagrangian, and use it to determine the space of almost toric fibres modulo the action of $\mathrm {Symp}(\mathbb {CP}^2)$.