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MATH-338: Topological groups

Cours associés (30)

MATH-106(f): Analyse II

Étudier les concepts fondamentaux d'analyse et le calcul différentiel et intégral des fonctions réelles de plusieurs variables. ...

MATH-303: Measure theory

This course provides an introduction to the theory of measures and integration on abstract measure spaces. ...

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 as vector fields, differential forms, etc. ...

MATH-310: Algebra

This is an introduction to modern algebra: groups, rings and fields. ...

MATH-506: Topology IV.a - 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 algebra. We study an algebraic version, namely group coho ...

MATH-106(b): Analyse II

Étudier les concepts fondamentaux d'analyse et le calcul différentiel et intégral des fonctions réelles de plusieurs variables. ...

MATH-105(b): Analyse avancée II

Étudier les concepts fondamentaux d'analyse et le calcul différentiel et intégral des fonctions réelles de plusieurs variables. ...

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 Riemannian geometry (with a focus dictated by computational con ...

MATH-211: Algebra II - groups

This course deals with group theory, with particular emphasis on group actions and notions of category theory. ...

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 they work and sketch how they can be implemented. ...

Cours associés (30)

MATH-106(f): Analyse II

Étudier les concepts fondamentaux d'analyse et le calcul différentiel et intégral des fonctions réelles de plusieurs variables. ...

MATH-303: Measure theory

This course provides an introduction to the theory of measures and integration on abstract measure spaces. ...

MATH-322: Differential geometry II - smooth manifolds

MATH-310: Algebra

This is an introduction to modern algebra: groups, rings and fields. ...

MATH-506: Topology IV.a - Cohomology rings

MATH-106(b): Analyse II

Étudier les concepts fondamentaux d'analyse et le calcul différentiel et intégral des fonctions réelles de plusieurs variables. ...

MATH-105(b): Analyse avancée II

Étudier les concepts fondamentaux d'analyse et le calcul différentiel et intégral des fonctions réelles de plusieurs variables. ...

MATH-512: Optimization on manifolds

MATH-211: Algebra II - groups

This course deals with group theory, with particular emphasis on group actions and notions of category theory. ...

COM-401: Cryptography and security