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Concept

Alexandre Grothendieck

Cours associés (8)

MATH-488: Topology IV.b - Algebraic K-theory

Algebraic K-theory, which to any ring R associates a sequence of groups, can be viewed as a theory of linear algebra over an arbitrary ring. We will study in detail the first two of these groups and some of their applications to other areas of mathematics. ...

MATH-521: Advanced analytic number theory

This year we will present some further applications of the theory of modular forms (compared to MATH-511). These may include the following:

Equidistribution of points on spheres
Construction of Ramanujan Graph
Invariant means on the spheres
Compl ...

MATH-662: Perfectoid spaces

The course is about defining perfectoid spaces, and possibly presenting some applications. ...

MATH-417: Number theory II.c - Selected topics

pas donné en 2025-2026 ...

MATH-436: Topology V.a - 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 examples of model categories and their applications in ...

MATH-643: Applied l-adic cohomology

In this course we will describe in numerous examples how methods from l-adic cohomology as developed by Grothendieck, Deligne and Katz can interact with methods from analytic number theory (prime numbers, modular forms etc...). ...

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 students to learn more about ground-breaking advances in pure ...

MATH-679: Group schemes

This is a course about group schemes, with an emphasis on structural theorems for algebraic groups (e.g. Barsotti--Chevalley's theorem). All the basics will be covered towards the proof of such theorem, with an estress on the modern presentation using sche ...