Some constructions in almost toric geometry

par Joé Brendel

lundi 16 nov. 2026, 14:00 → 15:00 Europe/Paris

Salle de séminaires IRMA

Almost toric geometry is a generalization of toric geometry, in which certain four-dimensional symplectic manifolds are encoded by two-dimensional base diagrams. The goal of this talk is to give an introduction to this topic, discuss many examples and then move to applications. If time permits we will discuss so-called Lagrangian needle's eyes. These are Lagrangian subspaces which exhibit intersection rigidity with the trace of certain Hamiltonian isotopies of Lagrangian tori. Almost toric fibrations are crucially used in their construction.