This course provides a rigorous introduction to the ideas, methods and results of classical statistical mechanics, with an emphasis on presenting the central tools for the probabilistic description of
This is an introduction to modern algebra: groups, rings and fields.
This is a standard course in representation theory of finite groups.
L'étudiant acquiert une initiation théorique à la méthode des éléments finis qui constitue la technique la plus courante pour la résolution de problèmes elliptiques en mécanique. Il apprend à applique
This course is an introduction to the theory of Riemann surfaces. Riemann surfaces naturally appear is mathematics in many different ways: as a result of analytic continuation, as quotients of complex
Study the basics of representation theory of groups and associative algebras.
The aim of the course is to give an introduction to linear algebraic groups and to give an insight into a beautiful subject that combines algebraic geometry with group theory.
This course deals with group theory, with particular emphasis on group actions and notions of category theory.
Singular cohomology is defined by dualizing the singular chain complex for spaces. We will study its basic properties, see how it acquires a multiplicative structure and becomes a graded commutative a
Le cours explore, sous la forme de projets de groupes, les textes fondateurs des cultures antiques (Proche-Orient ancien, Grèce, Rome, Egypte).
En fin de semestre, les groupes présentent leur oeuvre d
