Etudiant : YEO YALAMOUSSA ERIC

Filière : Master Mathématiques Pures (MMP)

Encadrant : Pr. KADAOUI ABBASSI MOHAMED TAHAR

Annèe : 2023

Résumé : The aim of this project is to provide an introduction to infinite-dimensional differential geometry and explore the connections between finite and infinite-dimensional manifolds. It poses the fundamental question of generalizing concepts from the finite to the infinite dimension, investigating the associated difficulties and examining whether equivalent definitions from finite dimensional differential geometry still hold true in the infinite dimensional setting. By pursuing this philosophy, we can achieve a deep understanding of the theory of manifolds.