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Nombre de programmes trouvés : 3924
Conférences

le (1h3m1s)

Y. Tang - Exceptional splitting of reductions of abelian surfaces with real multiplication

Chavdarov and Zywina showed that after passing to a suitable field extension, every abelian surface A with real multiplication over some number field has geometrically simple reduction modulo p for a density one set of primes p. One may ask whether its complement, the density zero set of primes p such that the reduction of A modulo p is not geometrically simple, is infinite. Such question is analogous to the study of exceptional mod p isogeny between two elliptic curves in the recent work of Charles. ...
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Cours magistraux

le (1h1m34s)

F. Andreatta - The height of CM points on orthogonal Shimura varieties and Colmez conjecture (part3)

We will first introduce Shimura varieties of orthogonal type, their Heegner divisors and some special points, called CM (Complex Multiplication) points. Secondly we will review conjectures of Bruinier-Yang and Buinier-Kudla-Yang which provide explicit formulas for the arithmetic intersection of such divisors and the CM points. We will show that they imply an averaged version of a conjecture of Colmez. Finally we will present the main ingredients in the proof of the conjectures. The lectures are base on joint works with E. Goren, ...
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Cours magistraux

le (1h31m6s)

G. Freixas i Montplet - Automorphic forms and arithmetic intersections (part 2)

In these lectures I will focus on the Riemann-Roch theorem in Arakelov geometry, in the specific context of some simple Shimura varieties. For suitable data, the cohomological part of the theorem affords an interpretation in terms of both holomorphic and non-holomorphic modular forms. The formula relates these to arithmetic intersection numbers, that can sometimes be evaluated through variants of the first Kroenecker limit formula. I will first explain these facts, and then show how the Jacquet-Langlands correspondence allows to relate arithmetic intersection numbers for ...
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Conférences

le (1h1m14s)

A. von Pippich - An analytic class number type formula for PSL2(Z)

For any Fuchsian subgroup Γ⊂PSL2(R) of the first kind, Selberg introduced the Selberg zeta function in analogy to the Riemann zeta function using the lengths of simple closed geodesics on Γ∖H instead of prime numbers. In this talk, we report on a formula that determines the special value at s=1 of the derivative of the Selberg zeta function for Γ=PSL2(Z). This formula is obtained as an application of a generalized Riemann-Roch isometry for the trivial sheaf on ¯¯¯¯¯¯¯¯¯¯¯Γ∖H, equipped with the Poincaré metric. This is joint ...
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Cours magistraux

le (1h33m12s)

F. Andreatta - The height of CM points on orthogonal Shimura varieties and Colmez conjecture (part4)

We will first introduce Shimura varieties of orthogonal type, their Heegner divisors and some special points, called CM (Complex Multiplication) points. Secondly we will review conjectures of Bruinier-Yang and Buinier-Kudla-Yang which provide explicit formulas for the arithmetic intersection of such divisors and the CM points. We will show that they imply an averaged version of a conjecture of Colmez. Finally we will present the main ingredients in the proof of the conjectures. The lectures are base on joint works with E. Goren, B. Howard ...
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Cours magistraux

le (46m14s)

G.Freixas i Montplet - Automorphic forms and arithmetic intersections (part 3)

In these lectures I will focus on the Riemann-Roch theorem in Arakelov geometry, in the specific context of some simple Shimura varieties. For suitable data, the cohomological part of the theorem affords an interpretation in terms of both holomorphic and non-holomorphic modular forms. The formula relates these to arithmetic intersection numbers, that can sometimes be evaluated through variants of the first Kroenecker limit formula. I will first explain these facts, and then show how the Jacquet-Langlands correspondence allows to relate arithmetic intersection numbers for ...
Voir la vidéo
Cours magistraux

le (54m53s)

F. Andreatta - The height of CM points on orthogonal Shimura varieties and Colmez conjecture (part5)

We will first introduce Shimura varieties of orthogonal type, their Heegner divisors and some special points, called CM (Complex Multiplication) points. Secondly we will review conjectures of Bruinier-Yang and Buinier-Kudla-Yang which provide explicit formulas for the arithmetic intersection of such divisors and the CM points. We will show that they imply an averaged version of a conjecture of Colmez. Finally we will present the main ingredients in the proof of the conjectures. The lectures are base on joint works with E. Goren, B. Howard ...
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Conférences

le (1h19m50s)

LES COMPTES DES MILLE ET UNE EXOPLANÈTES

Dans le cadre des Journées de la Société Française d'Astronomie et Astrophysique (SF2A), qui se sont tenues à Paris du 4 au 7 juillet 2017, une conférence grand public dont le titre est « Les comptes des mille et une exoplanètes » a été organisée le mardi 4 juillet à 19h30 à l'Institut d'astrophysique de Paris (IAP). L'orateur est Daniel Rouan, Directeur de recherche au CNRS à l’Observatoire de Paris et membre de l'Académie des Sciences.
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