# Video of the week

## Post-edited

Courant, Judicaël (Author of the conference)

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# Latest Videos

## Post-edited Of commutators and Jacobians

The boundedness (on $L^p$ spaces) of commutators $[b,T] = bT-Tb$ of pointwise multiplication $b$ and singular integral operators $T$ has been well studied for a long time. Curiously, the necessary ...

## Post-edited Invariants of ternary forms under the orthogonal group

Classical invariant theory has essentially addressed the action of the general linear group on homogeneous polynomials. Yet the orthogonal group arises in applications as the relevant group of ...

## Post-edited Periods of polarized hyperkähler manifolds​

Hyperkähler manifolds are higher-dimensional analogs of K3 surfaces. Verbitsky and Markmann recently proved that their period map is an open embedding. In a joint work with E. Macri, we explicitly ...

## Post-edited Introduction to quantum optics - Lecture 1

Quantum optical systems provides one of the best physical settings to engineer quantum many-body systems of atoms and photons, which can be controlled and measured on the level of single quanta. In ...

## Multi angle $H^\infty$-calculus and the heat equation with rough boundary conditions

In this talk we consider the Laplace operator with Dirichlet boundary conditions on a smooth domain. We prove that it has a bounded $H^\infty$-calculus on weighted $L^p$-spaces for power weights ...

## Multi angle Recent approaches based on harmonic analysis for the study of non regular solutions to the Navier-Stokes equations with variable density

The inhomogeneous incompressible Navier-Stokes equations that govern the evolution of viscous incompressible flows with non-constant density have received a lot of attention lately. In this talk, we ...

## Multi angle Méthodes probabilistes

La méthode probabiliste est un outil extrêmement puissant, qui consiste à montrer l'existence d'un objet via une génération aléatoire bien choisie. Nous discuterons ici en particulier de son rôle en ...

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