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Vidéo Année : 2017

D. Loughran - Sieving rational points on algebraic varieties

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Daniel Loughran
  • Fonction : Auteur
  • PersonId : 1028952
Jérémy Magnien
  • Fonction : Réalisateur
  • PersonId : 966327

Résumé

Sieves are an important tool in analytic number theory. In a typical sieve problem, one is given a list of p-adic conditions for all primes p, and the challenge is to count the number of integers which satisfy all these p-adic conditions. In this talk we present some versions of sieves for varieties whose rational points are equidistributed, and give applications to counting rational points in thin sets. This is joint work with Tim Browning.

Dates et versions

medihal-01720044 , version 1 (28-02-2018)

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  • HAL Id : medihal-01720044 , version 1

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Daniel Loughran, Jérémy Magnien. D. Loughran - Sieving rational points on algebraic varieties: Summer School 2017 - Arakelov Geometry and diophantine applications. 2017. ⟨medihal-01720044⟩
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