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Concept

Théorie algébrique des nombres

Cours associés (10)

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

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MATH-337: Number theory I.c - Combinatorial number theory

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MATH-313: Number theory I.b - Analytic number theory

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MATH-535: Algebraic geometry III - selected topics

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MATH-410: Riemann surfaces

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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 applications, notably we will prove rationality of the Weil Ze ...

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-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 students to the adelic language, the theory of automorp ...