Une introduction au Modèle Standard de la physique des particules, couvrant ses particules fondamentales et leurs interactions.

Quantum Field Theory (QFT) is one of the cornerstones of modern physics, encompassing Quantum Mechanics and Relativity in an unique coherent framework, providing the logical foundations  of high energy physics. QFT has found applications in almost any branch of modern theoretical physics, from particle physics to cosmology, from gravity to statistical mechanics,  and even beyond. 

Phase transitions take place in many different branches of physics: from soft and hard condensed matter to cosmology and high-energy physics. This course presents the fundamental ideas, concepts and methods that underpin the modern theory of phase transitions. 

The first aim of these lectures will be to give a brief overview of the physical and dynamical mechanisms which determine Earth’s climate. We will start with the atmospheric radiative transfer and the energy fluxes provided by the fluid dynamics of the atmosphere and the oceans.

The course provides an introduction to the physics of living systems.

Many physical phenomena are modeled at a macroscopic level by partial differential equations, in domains as diverse as fluid and solid mechanics,  electromagnetism, general relativity, quantum mechanics or astrophysics. These are mathematical expressions which impose a relation between partial derivatives of one or several multivariable functions. This course is meant as an introduction to numerical methods for the approximation of solutions to partial differential equations.