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Nombre de programmes trouvés : 888
Cours magistraux

le (1h33m46s)

A. Chambert-Loir - Equidistribution theorems in Arakelov geometry and Bogomolov conjecture (part2)

Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conjecture (proved by Raynaud) asserts that X contains only finitely many points of finite order. When X is defined over a number field, Bogomolov conjectured a refinement of this statement, namely that except for those finitely many points of finite order, the Néron-Tate heights of the algebraic points of X admit a strictly positive lower bound. This conjecture has been proved by Ullmo, and an extension to all subvarieties ...
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Cours magistraux

le (1h31m53s)

A. Chambert-Loir - Equidistribution theorems in Arakelov geometry and Bogomolov conjecture (part3)

Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conjecture (proved by Raynaud) asserts that X contains only finitely many points of finite order. When X is defined over a number field, Bogomolov conjectured a refinement of this statement, namely that except for those finitely many points of finite order, the Néron-Tate heights of the algebraic points of X admit a strictly positive lower bound. This conjecture has been proved by Ullmo, and an extension to all subvarieties ...
Voir la vidéo
Cours magistraux

le (59m43s)

A. Chambert-Loir - Equidistribution theorems in Arakelov geometry and Bogomolov conjecture (part4)

Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conjecture (proved by Raynaud) asserts that X contains only finitely many points of finite order. When X is defined over a number field, Bogomolov conjectured a refinement of this statement, namely that except for those finitely many points of finite order, the Néron-Tate heights of the algebraic points of X admit a strictly positive lower bound. This conjecture has been proved by Ullmo, and an extension to all subvarieties ...
Voir la vidéo
Cours magistraux

le (1h4m38s)

P. Salberger - Quantitative aspects of rational points on algebraic varieties (part1)

Let X be a subvariety of Pn defined over a number field and N(B) be the number of rational points of height at most B on X. There are then general conjectures of Manin on the asymptotic behaviour of N(B) when B goes to infinity. These conjectures can be studied using the Hardy-Littlewood method for non-singular complete intersections of high dimensions and by adelic harmonic analysis for varieties related to algebraic groups. But for most varieties there are no other methods available apart from sieve theory ...
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Cours magistraux

le (1h3m58s)

P. Salberger - Quantitative aspects of rational points on algebraic varieties (part2)

Let X be a subvariety of Pn defined over a number field and N(B) be the number of rational points of height at most B on X. There are then general conjectures of Manin on the asymptotic behaviour of N(B) when B goes to infinity. These conjectures can be studied using the Hardy-Littlewood method for non-singular complete intersections of high dimensions and by adelic harmonic analysis for varieties related to algebraic groups. But for most varieties there are no other methods available apart from sieve theory ...
Voir la vidéo
Cours magistraux

le (1h24m44s)

P. Salberger - Quantitative aspects of rational points on algebraic varieties (part3)

Let X be a subvariety of Pn defined over a number field and N(B) be the number of rational points of height at most B on X. There are then general conjectures of Manin on the asymptotic behaviour of N(B) when B goes to infinity. These conjectures can be studied using the Hardy-Littlewood method for non-singular complete intersections of high dimensions and by adelic harmonic analysis for varieties related to algebraic groups. But for most varieties there are no other methods available apart from sieve theory ...
Voir la vidéo
Cours magistraux

le (1h50m34s)

Giovanni Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 1)

In these lectures I will first recall the basic notions and results that are needed to study minimal surfaces in the smooth setting (above all the area formula and the first variation of the area), give a short review of the main (classical) techniques for existence results, and then outline the theory of Finite Perimeter Sets, including the main results of the theory (compactness, structure of distributional derivative, rectifiability). If time allows, I will conclude with a few applications.  
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Cours magistraux

le (1h23m9s)

Giovanni Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 2)

In these lectures I will first recall the basic notions and results that are needed to study minimal surfaces in the smooth setting (above all the area formula and the first variation of the area), give a short review of the main (classical) techniques for existence results, and then outline the theory of Finite Perimeter Sets, including the main results of the theory (compactness, structure of distributional derivative, rectifiability). If time allows, I will conclude with a few applications.
Voir la vidéo
Cours magistraux

le (1h23m42s)

Giovanni Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 3)

In these lectures I will first recall the basic notions and results that are needed to study minimal surfaces in the smooth setting (above all the area formula and the first variation of the area), give a short review of the main (classical) techniques for existence results, and then outline the theory of Finite Perimeter Sets, including the main results of the theory (compactness, structure of distributional derivative, rectifiability). If time allows, I will conclude with a few applications.
Voir la vidéo

 
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