Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

In this talk, I will state a conjecture giving a formula for the Lagrangian capacity of a convex or concave toric domain. First, I will explain a proof of the conjecture in the case where the toric domain is convex and 4-dimensional, using the Gutt...

We show that Viterbo‘s conjecture (for the EHZ-capacity) for convex Lagrangian products in ℝ4 holds for all Lagrangian products (any trapezoid in ℝ2) x (any convex body in ℝ2). Moreover, we classify all equality cases of Viterbo’s conjecture within...

To an element in the completion of the set of Lagrangians for the spectral distance we associate a support.  We show that such a support is γ-coisotropic (a notion we shall define in the talk) and we shall give examples and counterexamples of γ...

In this talk, I want to show that in the planar circular restricted three body problem there are infinitely many symmetric consecutive collision orbits for all energies below the first critical energy value.  By using the Levi-Civita regularization...

Let K be a knot or link in the 3-sphere, thought of as the ideal boundary of hyperbolic 4-space, H4. The main theme of my talk is that it should be possible to count minimal surfaces in H4 which fill K and obtain a link invariant. In other words...

The Hochschild cohomology of the Floer algebra of a Lagrangian L, and the associated closed-open string map, play an important role in the generation criterion for the Fukaya category and in deformation theory approaches to mirror symmetry. I will...

The existence of rational plane curves of a given degree with prescribed singularities is a subtle and active area in algebraic geometry. This problem turns out to be closely related to difficult enumerative problems which arise in symplectic field...

I will talk about an ongoing project that explores the construction of high dimensional Legendrian spheres from supporting open books and contact structures. The input is a Lagrangian disk filling of a Legendrian knot in the binding. We try to...

I will explain the construction of a new class of Liouville domains that live in a complex torus of arbitrary dimension, whose boundary dynamics encodes information about the singularities of a toric compactification. The primary motivation for this...

In this talk, we will study the Floer Homology barcodes from a dynamical point of view. Our motivation comes from recent results in symplectic topology using barcodes to obtain dynamical results. We will give the ideas of new constructions of...