Cours
MATH-473: Complex manifolds
Cours associés (116)
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
MATH-213: Differential geometry I - curves and surfaces
Ce cours est une introduction à la géométrie différentielle classique des courbes et des surfaces, principalement dans le
plan et l'espace euclidien.
MATH-506: Topology IV.b - cohomology rings
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
MATH-328: Algebraic geometry I - Curves
Algebraic geometry is the common language for many branches of modern research in mathematics. This course gives an introduction to this field by studying algebraic curves and their intersection theor
MATH-322: Differential geometry II - smooth manifolds
Smooth manifolds constitute a certain class of topological spaces which locally look like some Euclidean space R^n and on which one can do calculus. We introduce the key concepts of this subject, such
PHYS-427: Relativity and cosmology I
Introduce the students to general relativity and its classical tests.
ME-411: Mechanics of slender structures
Analysis of the mechanical response and deformation of slender structural elements.
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
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