Concept
Variété (géométrie)
Cours associés (19)
MATH-422: Introduction to riemannian geometry
La géométrie riemannienne est un (peut-être le) chapitre central de la géométrie différentielle et de la géométriec ontemporaine en général. Le sujet est très riche et ce cours est une modeste introdu
MATH-429: Representation Theory II - Lie groups and algebras
This is a standard course on Lie groups, Lie algebras and their representations.
MATH-731: Topics in geometric analysis I
The subject deals with differential geometry and its relation to global analysis, partial differential equations, geometric measure theory and variational principles to name a few.
MATH-410: Riemann surfaces
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
MATH-512: Optimization on manifolds
We develop, analyze and implement numerical algorithms to solve optimization problems of the form min f(x) where x is a point on a smooth manifold. To this end, we first study differential and Riemann
PHYS-739: Conformal Field theory and Gravity
This course is an introduction to holography, the modern approach to quantum gravity.
MATH-344: Differential geometry III - Riemannian geometry
This course will serve as a first introduction to the geometry of Riemannian manifolds, which form an indispensible tool in the modern fields of differential geometry, analysis and theoretical physics
PHYS-427: Relativity and cosmology I
Introduce the students to general relativity and its classical tests.
PHYS-431: Quantum field theory I
The goal of the course is to introduce relativistic quantum field theory as the conceptual and mathematical framework describing fundamental interactions.
MATH-494: Topics in arithmetic geometry
P-adic numbers are a number theoretic analogue of the real numbers, which interpolate between arithmetics, analysis and geometry. In this course we study their basic properties and give various applic