no. 23-24
Number Theory/Dynamical Systems
Towards an effective version of Mazur conjecture
[Vers une version effective de la conjecture de Mazur]

Présenté par : Jean-Pierre Serre

Templier, Nicolas1
1 Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540, USA
Comptes Rendus. Mathématique, Tome 348 (2010) no. 23-24, pp. 1245-1247.

Dans cette Note on présente une vue axiomatique de l'argument principal de la démonstration par Cornut–Vatsal de la conjecture de Mazur. Notre objectif est d'extraire des énoncés ergodiques clairs et de discuter une possible stratégie vers une version effective.

In this Note we present an axiomatic exposition of Cornut–Vatsal's main ingredient in their proof of Mazur conjecture. Our aim is to extract clean ergodic statements and discuss a possible strategy towards effectivity.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.10.011
Templier, Nicolas 1

1 Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540, USA 
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Templier, Nicolas. Towards an effective version of Mazur conjecture. Comptes Rendus. Mathématique, Tome 348 (2010) no. 23-24, pp. 1245-1247. doi : 10.1016/j.crma.2010.10.011. http://www.numdam.org/articles/10.1016/j.crma.2010.10.011/

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[6] Mazur, B. Modular curves and arithmetic, Warsaw, 1983, PWN, Warsaw (1984), pp. 185-211

[7] Ratner, M. Raghunathan's conjectures for Cartesian products of real and p-adic Lie groups, Duke Math. J., Volume 77 (1995) no. 2, pp. 275-382

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[9] Vatsal, V. Special values of anticyclotomic L-functions, Duke Math. J., Volume 116 (2003) no. 2, pp. 219-261

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