Video Lectures

In his search for closed orbits in the planar restricted three-body problem, Poincaré’s approach roughly reduces to:

1. Finding a global surface of section;
2. Proving a fixed-point theorem for the resulting return map.

This is the setting for the...

Discussions of the widespread appeal of the cult of Isis in antiquity often omit any mention of the Nubian priests who served the rulers of the Kingdom of Meroe (located south of Egypt in the Sudan) and the royal donations of gold that they...

I will discuss the construction of continuous solutions to the incompressible Euler equations that exhibit local dissipation of energy and the surrounding motivations. A significant open question, which represents a strong form of the Onsager...

Joint work with Luc Hillairet (Orléans) and Emmanuel Trélat (Paris). A 3D closed manifold with a contact distribution and a metric on it carries a canonical contact form. The associated Reeb flow plays a central role for the asymptotics of the...

 Quantum many-body systems are very hard to simulate, since computational resources (time and memory) typically grow exponentially with the system size. However, quantum computers or analog quantum simulators may perform that task in a much more...

K3 surfaces have a rich geometry and admit interesting holomorphic automorphisms. As examples of Calabi-Yau manifolds, they admit Ricci-flat Kähler metrics, and a lot of attention has been devoted to how these metrics degenerate as the Kähler class...

In modern representation theory we often study the category of modules over an algebra, in particular its intrinsic and combinatorial structures. Vice versa one can ask the question: which categories have a given combinatorics? This is the basic...

Given a family of Lagrangian tori with full quantum corrections, the non-archimedean SYZ mirror construction uses the family Floer theory to construct a non-archimedean analytic space with a global superpotential. In this talk, we will first briefly...