## – Europe/Lisbon

Room P3.10, Mathematics Building — Online

Luís Diogo, Uppsala University

Lagrangian tori in the cotangent bundle of the 2-sphere

Given a symplectic manifold, one can ask what Lagrangian submanifolds it contains. I will discuss this question for one of the simplest examples of a non-trivial symplectic manifold, namely the cotangent bundle of the 2-sphere. Specifically, I will present a result about monotone Lagrangian tori as objects in the Fukaya category. If time permits, I will also discuss the problem of classifying Lagrangian tori up to Hamiltonian isotopy.