Scattering theories are of great importance for many problems in General Relativity, and scattering in the interior of a black hole is particularly relevant in the context of the cosmic censorship conjecture

This talk concerns the (generalized) Soler model: a nonlinear (massive) Dirac equation with a nonlinearity taking the form of a space-dependent mass. The equation admits standing wave solutions and they are generally

Amplitudes predict the outcome of scattering experiments with particle colliders. Feynman's perturbative approach leads to considering a power series whose coefficients are computed by so-called Feynman integrals. The perturbative expansion of string

In this talk, I will explain how to compute both Hodge numbers for complete intersection Calabi-Yau (CICY) 3- and 4-folds using machine learning. I will first make a tour of various machine

Dans le domaine des équations aux dérivées partielles, les ondes solitaires sont des objets fondamentaux. Ces ondes aussi appelées solitons, qui gardent leur vitesse ainsi que leur forme au cours du temps,

A toute variété lorentzienne (M,g) est associée une structure « projective » induite par sa connexion de Levi-Civita. Dans certains cas, il est possible de réaliser M comme l’intérieur d’une variété à

Résumé : L'utilisation des algèbres de Leibniz à la place des algèbres de Lie en théorie de jauge est introduite de façon naturelle en supergravité. Les procédures de jaugeage dans ces théories

SO(3) transformations are key elements in physics, such as for controlled spin systems. In experiments we have to consider a large ensemble of such physical entities, which are not exactly identical :

I will discuss a recent result about the excitation spectrum of a dilute Bose gas. We start from the microscopic many-body Hamiltonian H_N of quantum mechanics and derive Bogoliubov’s prediction for the

We propose an adaptive inexact version of a class of semismooth Newton methods for variational inequalities.As a model problem, we study the system of variational inequalities describing the contact between two membranes.We

We consider 2d random ergodic Schrödinger operators with long range magnetic fields on domains with and without boundary. After a brief introduction to the bulk-edge correspondence in the quantum Hall effect, we

La cohomologie de Davydov-Yetter classifie les déformations infinitésimales des structures tensorielles (associateur d'une catégorie tensorielle ou d'un foncteur tensoriel). Après des rappels sur cette théorie cohomologique et quelques éléments d'algèbre homologique relative,

Résumé : In 1981, W.G. Unruh discovered a mathematical analogy between waves in condensed matter systems and massless scalar fields in a curved space-time. This discovery founded the field of analogue gravity

 La compréhension des constituants élémentaires de la matière avance grâce aux expériences où le résultat de collisions entre particules est comparé aux prédictions théoriques. Même si les diagrammes de Feynman permettent le

We consider the second best constant in the Hardy-Sobolev inequality on a Riemannian manifold. More precisely, we are interested with the existence of extremal functions for this inequality. This problem was tackled

Density functional theory (DFT) is one of the most used methods to model matter at microscopic scale in many-body quantum physics and chemistry. It can be expressed in terms of an inverse

Integrable nonabelian systems are equations of motion in which the field variables take values in a nonabelian algebra, as a matrix one. As their classical counterparts, we can describe their structure and