Video Lectures

Powerful extragalactic radio sources hosted in galaxies come in all shapes, sizes, powers, and presumably ages.  What might a young or nascent powerful radio source look like?  The class of compact powerful extragalactic radio sources are defined to...

A new class of phase transitions has been recently studied in quantum many-body systems that are subject to measurements but not otherwise open to any external decoherence.  This phase transition arises from a competition between scrambling dynamics...

I will report on a project joint with Roman Bezrukavnikov (and partly with Laura Rider) aiming at constructing a variant for positive-characteristic coefficients of the equivalence constructed by Bezrukavnikov in "On two geometric realizations of an...

This is the final talk in a 3-part series whose goal is to give background as well as a self contained proof of Chen's recent breakthrough on the KLS conjecture and slicing problem. After becoming familiar with the construction of stochastic...

Lightray operators have played an important role in numerous recent developments in conformal field theory. These operators, and their associated operator product expansion (OPE), also play a central role in collider experiments, where they govern...

Korevaar and Schoen introduced, in a seminal paper in 1993, the notion of `Dirichlet energy’ for a map from a smooth Riemannian manifold to a metric space. They used such concept to extend to metric-valued maps the regularity theory by Eells-Sampson...

Developments in fundamental physics over the last century have led to the formulation of a universal language successfully describing Nature from the subatomic scale to the universe as a whole. This language is known as quantum field theory. In...

Imagine a 1D curve, then use it to fill a 2D manifold that covers an arbitrary 3D object – this computationally intensive materials challenge has been realized in the ancient technology known as knitting. This process for making functional materials...

We revisit the computation of string correlation functions in AdS3 with pure NS-NS flux from a worldsheet point of view. These correlators contain all the perturbative information about the spacetime CFT and the existence of winding strings in AdS3...

Up to a finite covering, a sequence of nested subvarieties of an affine algebraic variety just looks like a flag of vector spaces (Noether); understanding this « up to » is a primary motivation for a fine study of finite coverings.

The aim of this...