Concept
Théorie de Galois
Cours associés (11)
MATH-726(2): Working group in Topology II
The theme of the working group varies from year to year. Examples of recent topics studied include: Galois theory of ring spectra, duality in algebra and topology, topological algebraic geometry and t
MATH-211: Algebra II - groups
This course deals with group theory, with particular emphasis on group actions and notions of category theory.
MATH-317: Algebra V - Galois theory
Galois theory lies at the interface of Field Theory and Group Theory. It aims to describe the algebraic symmetries of fields. We will focus on Galois theory for finite field extensions and some applic
MATH-482: Number theory I.a - Algebraic number theory
Algebraic number theory is the study of the properties of solutions of polynomial equations with integral coefficients; Starting with concrete problems, we then introduce more general notions like alg
MATH-110(a): Advanced linear algebra I - vector spaces
L'objectif du cours est d'introduire les notions de base de l'algèbre linéaire (pour les futurs mathématiciens) et de démontrer rigoureusement les résultats principaux de ce sujet.
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
MATH-417: Number theory II.b - selected topics
This year's topic is "Additive combinatorics and applications." We will introduce various methods from additive combinatorics, establish the sum-product theorem over finite fields and derive various a
MATH-215: Algebra III - rings and fields
C'est un cours introductoire dans la théorie d'anneau et de corps.
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
COM-401: Cryptography and security
This course introduces the basics of cryptography. We review several types of cryptographic primitives, when it is safe to use them and how to select the appropriate security parameters. We detail how