Concept
Fibré vectoriel
Cours associés (21)
MATH-473: Complex manifolds
The goal of this course is to help students learn the basic theory of complex manifolds and Hodge theory.
MATH-657: Deformation Theory
We will study classical and modern deformation theory of schemes and coherent sheaves. Participants should have a solid background in scheme-theory, for example being familiar with the first 3 chapter
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
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-535: Algebraic geometry III - selected topics
This course is an introduction to the theory of algebraic curves and surfaces.
An important aim of the course is to develop geometric intuition while using the language of schemes developed in the ba
MATH-111(e): Linear Algebra
L'objectif du cours est d'introduire les notions de base de l'algèbre linéaire et ses applications.
MATH-510: Algebraic geometry II - schemes and sheaves
The aim of this course is to learn the basics of the modern scheme theoretic language of algebraic geometry.
MATH-225: Topology II - fundamental groups
On étudie des notions de topologie générale: unions et quotients d'espaces topologiques; on approfondit les notions de revêtements et de groupe fondamental,et d'attachements de cellules et on démontre
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