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Séminaire de Théorie Algorithmique des Nombres

Responsable : Damien Robert

Page du séminaire

  • Le 3 avril 2018 à 10:00
  • Salle 385
    Alex Bartel (Glasgow University)
    Cohen-Martinet heuristics revisited
    In the early 1990s Henri Cohen and Jacques Martinet offered aprobabilistic model that explains the behaviour of ideal class groupsof number fields in natural families, generalising earlier work byCohen and Lenstra. There is a lot of numerical evidence for thecorrectness of the model, but very few theorems. In joint work withHendrik Lenstra we revisit the Cohen-Martinet heuristics and, amongother things, disprove them in two different ways, but also lendadditional support for the expectation that they are “basically true”.In this talk I will explain one of these disproofs, and will proposepossible corrections.

    Afficher 2016 - 2015 - antérieurs