Por Giulio Ruzza (Universidade de Lisboa).

Symplectic Field Theory is a relatively new branch of symplectic topology that studies holomorphic curves in symplectic manifolds in the spirit of Gromov-Witten theory. The underlying algebraic structure of Symplectic Field Theory gives rise to quantum integrable systems, i.e., to a family of commuting operators. I will discuss how a surprising relation to (quasi)modular forms has helped in making progress on the spectral problem of (an instance of) such operators.