Computational physics plays a central role in all fields of physics, from classical statistical physics, soft matter problems, and hard-condensed matter. Our goal is to cover the basic concepts underlying computer simulations in classical and quantum problems, and connect these ideas to relevant and contemporary research topics in various fields of physics. In the TD’s you will also learn how to set, perform and analyse the results of simple computer simulations by yourself, covering a wide range of topics. We will use Python, but no previous knowledge of this programming language is needed.

Ce cours est une introduction aux phénomènes critiques géométriques aléatoires et leurs description par des techniques algébriques et probabilistiques et par des théories des champs quantiques. 

This is the follow-up couse to the quantum field theory class of the first semester. Topics we will cover include non-abelian gauge symmetry, spontaneous symmetry breaking, and the Higgs mechanism, all needed to understand the inner workings of the Standard Model, which we shall discuss in some detail.

The aim of this course is to introduce the most important topics needed to understand how we can test the Standard Model, then why and how we must go beyond it. It is aimed not just at future practitioners, but at anyone wanting to study High Energy Physics. 

This is an introductory course presenting the basics of the AdS/CFT duality. On the way, it will present some interesting physical concepts which are worth being acquainted wth,  independently of anti-de Sitter or string theory, such as for example aspects of: confromal filed theories in d>2, the renormalization group, non-abelian gauge theories,  the large-N limit, black hole thermodynamics, semiclassical gravity. 

 

A Dark Matter Journey from Particle Physics to Modern Cosmology.

The goal of these lectures is to define mathematical gauge theory and relate it to gauge theory (from physics).

The purpose of these lectures is to provide the basis on modern theoretical cosmology. 

La théorie des groupes et de leurs représentations est un sujet central et transverse qui étudie les symétries telles qu’elles apparaissent en mathématiques et dans les sciences en général, notamment en physique.