Special Lagrangian spheres

Speaker: Gonçalo Oliveira, UFF.

Date: 27 sep 2019, 11h. CANCELADO (Palestrante vai receber o Prêmio Jovem Cientista do Nosso Estado. Parabéns!)

Place: Room 407, Bloco H, Campus Gragoatá, UFF.

Abstract: A conjecture of Richard Thomas gives a stability condition supposed to control the existence of a special Lagrangian sphere in a Hamiltonian isotopy class. In this talk, I will describe joint work with Jason Lotay where we prove a version of this conjecture for real 4-dimensional examples arising from the Gibbons-Hawking ansatz. In these same examples, I will also give a description of Seidel's symplectically knotted Lagrangian spheres and, if time permits, I will give a thorough study of minimal submanifolds of this class of examples.