Differential geometry and gauge theory

Diplome(s)
Printemps- Eté
Niveau Master 2 3 ECTS - En anglais
Cours en option pour le parcours de Physique théorique
Enseignant(s) Hugues AUVRAY ( ENS Paris-Saclay Université Paris-Saclay )
Contact - Secrétariat de l’enseignement

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

To achieve this, we will build a mathematical background: a lot of differential geometry, some algebraic topology, a bit of Riemannian geometry, and an ounce of category theory. We will also see how to use these effectively in physics.

 

Syllabus
Prerequisities
Evaluation
Bibliography