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

An important application of algebraic curves is in the context of integrable systems via multi-dimensional theta functions. They give rise for instance to solutions of  the Kadomtsev-Petviashvili hierarchy, a universal integrable system.This talk aims to make

In 1992, V. Turaev and O. Viro defined an invariant of smooth oriented closed 3-manifolds consisting of labelling the edges of a triangulation of the manifold with representations of 𝒰q(sl₂(ℂ)) (q being

In this talk, I am going to review some aspects of the current state of the art of Integrability in the AdS/CFT correspondence and beyond. I will first describe a general nonperturbative approach to

In this talk, we will study of the influence of the underlying space geometry on the asymptotic dynamics of the nonlinear Schrödinger (NLS) equation. We will consider the focusing NLS equation in

Abstract: Resonances are complex frequencies which describe the oscillation and damping of solutions to wave-type equations at large time scales.In black hole type spacetimes such as the De Sitter-Reissner-Nordström (DSRN) solution of

We describe a construction which to a surface and a Iwahori-Hecke algebra associates an invariant which is a Laurent polynomial. More generally, this construction works for surfaces with boundary and behaves well

I will show how to derive analytic gravitational waveforms associated to the coalescence of a “hairy” black hole binary in Einstein-scalar-Gauss-Bonnet gravity (ESGB). To this aim, I will first present the post-newtonian (PN) lagrangian

Many central problems in geometry, mathematical physics and biology reduce to questions regarding the behavior of solutions of nonlinear evolution equations. The global dynamical behavior of bounded solutions for large times is

One result of the fruitful interaction between Quantum Field Theory and Algebraic Geometry was the creation of Frobenius manifolds. Those objects lie at the heart of the mathematical vision of mirror symmetry