Video Lectures

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...

Liouville field theory was introduced by Polyakov in the eighties in the context of string theory. Liouville theory appeared there under the form of a 2D Feynman path integral, which can be thought of as a measure (or expectation value) over the...

We discuss the existence problem of constant Chern scalar curvature metrics on a compact complex manifold. We prove a priori estimates for these metrics conditional on an upper bound on the entropy, extending a recent result by Chen-Cheng in the...

I shall present two billiard-like systems associated with a convex hypersurface in a symplectic space, the outer and an inner ones.  The talk will survey the known results and focus on open problems.

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...

In this three-part lecture series, we will present a series of works by Bedrossian, Blumenthal and Punshon-Smith on the chaotic mixing and enhanced dissipation properties of a passive tracer subject to the motion of an ergodic Markovian flow of...

Half-integral weight modular forms are classical objects with many important arithmetic applications.  In terms of automorphic representations, these correspond to objects on the metaplectic double cover of SL(2).  In this talk, I will outline a...

Close binaries are the origin of many extraordinary events in the Universe, including type Ia supernovae and gravitational wave events. On the other extreme, wide binaries are easily disrupted by gravitational perturbations, making them a unique...

Stephane Ipert is the director of the distinctive collections (Heritage Library) in the Qatar National Library (QNL), a unique collection of rare books, manuscripts, maps and archival collections about Qatar and the Islamic world. Since 2015 the QNL...