Historically, the synergy between physics and geometry, from the times of Archimedes and Newton to the era of Einstein, has repeatedly been the catalyst for pivotal breakthroughs in physics and mathematics. In this talk, I will introduce a new narrative demonstrating how physics and geometry intertwine, leading to unexpected and significant results in critical phenomena in physics. Specifically, I will elucidate how non-commutative geometry—a mathematical framework born from the insights of physicists—offers fresh perspectives on conformal field theory, a subject with profound applications across various physics domains, from condensed matter to quantum gravity, and string theory.  Pour être informé des prochains séminaires vous pouvez vous abonner à la liste de diffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec comme sujet: « subscribe seminaire_physique PRENOM NOM »(indiquez vos propres prénom et nom) et laissez le corps du message vide.

The asymptotic structure of gravity in the asymptotically flat context will be described at spatial infinity by Hamiltonian methods. The first lecture will provide the main ideas, give the Poisson bracket algebra of the BMS charges and propose a supertranslation-invariant definition of the angular momentum.  The second lecture will discuss the connection with null infinity and provide in particular a justification of Strominger’s matching conditions of the fields between past null infinity and future null infinity.Supported by the « 2021 Balzan Prize for Gravitation: Physical and Astrophysical Aspects », awarded to Thibault Damour

The asymptotic structure of gravity in the asymptotically flat context will be described at spatial infinity by Hamiltonian methods. The first lecture will provide the main ideas, give the Poisson bracket algebra of the BMS charges and propose a supertranslation-invariant definition of the angular momentum.  The second lecture will discuss the connection with null infinity and provide in particular a justification of Strominger’s matching conditions of the fields between past null infinity and future null infinity.Supported by the « 2021 Balzan Prize for Gravitation: Physical and Astrophysical Aspects », awarded to Thibault Damour

Le contenu scientifique de cette journée sera tourné vers la géométrie arithmétique, la géométrie algébrique et la géométrie analytique ainsi que la topologie algébrique.L’inscription est gratuite et ouverte jusqu’au 25 janvier 2024.Organisateur : Dustin Clausen (IHES)Conférenciers invités :Arthur-César Le Bras (CNRS, Université de Strasbourg)Vincent Pilloni (CNRS, Université Paris-Saclay)Tomer Schlank (Hebrew University of Jerusalem)Peter Scholze (MPIM Bonn) 

Séminaire Laurent Schwartz — EDP et applications 

Séminaire Laurent Schwartz — EDP et applications1ère lecture d’un cours intitulé : « Une introduction aux singularités sur critiques ».Les lectures suivantes auront lieu les 14, 15 et 19 mars de 10h30 à 12h30 dans l’Amphithéâtre Léon Motchane :Lecture 2 : Explosion de type front.Lecture 3 : Sur les solutions auto similaires d’Euler compressible.Lecture 4 : Stabilité du mécanisme d’implosion.

Séminaire Laurent Schwartz — EDP et applications 

Séminaire Laurent Schwartz — EDP et applications 

Séminaire Laurent Schwartz — EDP et applications 

Lecture 2 : Front singularities.The description of singularity formation for non linear PDE’s is a classical problem with deep physical roots. Immense progress have been done in the last thirty on the understanding of “bubbling” phenomenon for focusing problems. But recently, new mecanisms have been discovered for “defocusing” problems with a deep connection to fluid mechanics. This series of 4 lectures is intended as a graduate class and will propose an introduction to the key results and open problems in the field, as well as a self contained description of the essential steps of the proofs.

Lecture 3 : On self similar solutions for compressible Euler.The description of singularity formation for non linear PDE’s is a classical problem with deep physical roots. Immense progress have been done in the last thirty on the understanding of “bubbling” phenomenon for focusing problems. But recently, new mecanisms have been discovered for “defocusing” problems with a deep connection to fluid mechanics. This series of 4 lectures is intended as a graduate class and will propose an introduction to the key results and open problems in the field, as well as a self contained description of the essential steps of the proofs.

Lecture 4 : Stability of implosion.The description of singularity formation for non linear PDE’s is a classical problem with deep physical roots. Immense progress have been done in the last thirty on the understanding of “bubbling” phenomenon for focusing problems. But recently, new mecanisms have been discovered for “defocusing” problems with a deep connection to fluid mechanics. This series of 4 lectures is intended as a graduate class and will propose an introduction to the key results and open problems in the field, as well as a self contained description of the essential steps of the proofs.