Concept
Cohomologie de De Rham
Cours associés (10)
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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
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The goal of this course is to help students learn the basic theory of complex manifolds and Hodge theory.
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-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-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-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-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
MATH-681: Reading group in applied topology II
In this reading group, we will work together through recent important papers in applied topology.
Participants will take turns presenting articles, then leading a discussion of the contents.
PHYS-702: Advanced Quantum Field Theory
The course builds on the course QFT1 and QFT2 and develops in parallel to the course on Gauge Theories and the SM.
MATH-645: Young Topologists Meeting Mini-Courses
We expect these mini-courses to equip junior researchers with new tools, techniques, and perspectives for attacking a broad range of questions in their own areas of research while also inspiring stude