Catégorie

Topologie algébrique

Cours associés (59)
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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
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MATH-436: Homotopical algebra
This course will provide an introduction to model category theory, which is an abstract framework for generalizing homotopy theory beyond topological spaces and continuous maps. We will study numerous
MATH-323: Topology III - Homology
Homology is one of the most important tools to study topological spaces and it plays an important role in many fields of mathematics. The aim of this course is to introduce this notion, understand its
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We propose an introduction to homotopy theory for topological spaces. We define higher homotopy groups and relate them to homology groups. We introduce (co)fibration sequences, loop spaces, and suspen
MATH-563: Student seminar in pure mathematics
This seminar will be an introduction to homological algebra, a tool widely used in topology, algebraic geometry and many other modern areas of mathematics.
MATH-473: Complex manifolds
The goal of this course is to help students learn the basic theory of complex manifolds and Hodge theory.
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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
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This course deals with group theory, with particular emphasis on group actions and notions of category theory.
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