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Cours associés (8)
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We will present the work of James Maynard (MF 2022) on the existence of bounded gaps between primes
MATH-670: The theta correspondence
In the course we will discuss some introductory aspects of the local/global theta correspondence for automorphic forms/representation for various dual pairs. One of the objectives will be to prove Wal
MATH-313: Number theory I.b - Analytic number theory
The aim of this course is to present the basic techniques of analytic number theory.
MATH-200: Analysis III - complex analysis and vector fields
Apprendre les bases de l'analyse vectorielle et de l'analyse complexe.
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-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-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 numb
MATH-603: Subconvexity, Periods and Equidistribution
This course is a modern exposition of "Duke's Theorems" which describe the distribution of representations of large integers by a fixed ternary quadratic form. It will be the occasion to introduce the