Lagrangian product tori in $S^2 \times S^2$

Abstract: A Lagrangian product torus in $S^2 \times S^2$ is a Lagrangian torus obtained by taking a product of circles. The main goal of this talk is to give a symplectic classification of product tori and illustrate that interesting things can happen in case the symplectic form is non-monotone. We make a detour through toric geometry and discuss the more general classification question of toric fibres. If time permits, we will discuss related questions and some applications. This is partially based on joint work with Joontae Kim.

differential geometrydynamical systemsgeometric topologysymplectic geometryspectral theory

Audience: researchers in the topic

Geometry and Dynamics seminar

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