I will report on the work in progress with S. Anjos and M. Pinsonnault concerning configuration spaces of symplectic balls in the standard complex projective plane. A few weeks ago Martin showed that when the balls are small their configuration space is homotopy equivalent to the configuration space of points. I will discuss what is happening if the balls are bigger. I will also try to put it into a more general context of configuration of rigid balls in domains of a Euclidean space.

In this series of lectures, I will discuss how methods from modern symplectic geometry (e.g. holomorphic curves or Floer theory) can be made to bear on the classical (circular, restricted) three body problem. I will touch upon theoretical aspects, as well as practical applications to space mission design. This is based on my recent book, available in https://arxiv.org/abs/2101.04438, to be published by Springer Nature.

In this series of lectures, I will discuss how methods from modern symplectic geometry (e.g. holomorphic curves or Floer theory) can be made to bear on the classical (circular, restricted) three body problem. I will touch upon theoretical aspects, as well as practical applications to space mission design. This is based on my recent book, available in https://arxiv.org/abs/2101.04438, to be published by Springer Nature.

In this series of lectures, I will discuss how methods from modern symplectic geometry (e.g. holomorphic curves or Floer theory) can be made to bear on the classical (circular, restricted) three body problem. I will touch upon theoretical aspects, as well as practical applications to space mission design. This is based on my recent book, available in https://arxiv.org/abs/2101.04438, to be published by Springer Nature.

A toric Lagrangian fibration is a Lagrangian fibration whose singular fibers are all of elliptic type. I will begin by explaining how such fibrations can be viewed as Hamiltonian spaces associated with symplectic torus bundles. I will then discuss a generalization to this class of fibrations of the Abreu–Guillemin–Donaldson theory of extremal Kähler metrics on toric symplectic manifolds. Integral affine geometry plays a central role in this generalization, as the Delzant polytope is replaced by a more general domain contained in an integral affine manifold. This talk is based on on-going work with Miguel Abreu and Maarten Mol.