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Berkovich Spaces and p-adic Differential Equations


Du 8 au 11 novembre 2010

IRMA Strasbourg
Programme

Recent works have shown interesting connections between Berkovich spaces and p-adic differential equations. The purpose of the conference is to gather expects in both fields. The program will include introductory talks as well as some on advanced topics and will leave time for discussions.

Organizers: Bruno Chiarellotto (Padua), Adriano Marmora (Strasbourg), Jérôme Poineau (Strasbourg)

Confirmed speakers:

  • Francesco Baldassarri (Univ. of Padua, Italy)
  • Vladimir Berkovich (Weizmann Institute, Israel)
  • Pierre Berthelot (Univ. of Rennes 1, France)
  • Daniel Caro (Univ. of Caen, France)
  • Valentina Di Proietto (Univ. of Padua, Italy)
  • Antoine Ducros (Univ. of Paris 6, France)
  • Johannes Nicaise (Univ. of Leuven, Belgium)
  • Christine Noot-Huyghe (Univ. of Strasbourg, France)
  • Andrea Pulita (Univ. of Montpellier 2, France)
  • Marius van der Put (Univ. of Groningen, The Netherlands)
  • Nobuo Tsuzuki (Tohoku Univ., Japan)
  • Liang Xiao (Univ. of Chicago, U.S.A.)
Photo de groupe Image 657 importée de Spip

  • Lundi 8 novembre 2010

  • 10:30 - 11:00

    Registration
  • 11:00 - 12:15

    Pierre Berthelot

    Introduction to overconvergent F-isocristals

  • 12:15 - 14:30

    Lunch
  • 14:30 - 15:45

    Nobuo Tsuzuki

    Log-growth and Frobenius for p-adic differential equations

  • 15:45 - 16:15

    Coffee break
  • 16:15 - 17:30

    Valentina Di Proietto

    An algebrization theorem for certain p-adic differential equations

  • Mardi 9 novembre 2010

  • 09:30 - 10:45

    Antoine Ducros

    Berkovich spaces: general properties and detailed study of analytic curves

  • 10:45 - 10:15

    Coffee break
  • 11:15 - 12:30

    Vladimir Berkovich

    Integration of one-forms on p-adic analytic spaces

  • 12:30 - 15:00

    Lunch
  • 15:00 - 16:15

    Andrea Pulita

    Radius of convergence function of p-adic differential equations

  • 16:15 - 16:45

    Coffee break
  • 16:45 - 18:00

    Francesco Baldassarri

    Bornological spaces

  • Mercredi 10 novembre 2010

  • 09:30 - 10:45

    Marius Van Der Put

    Classification of local linear p-adic differential equations

  • 10:45 - 11:15

    Coffee break
  • 11:15 - 12:30

    Liang Xiao

    Computing logarithmic characteristic cycles via ramification theory

  • 12:30 - 15:00

    Lunch
  • 15:00 - 16:15

    Johannes Nicaise

    From p-adic zeta functions to t-adic analytic geometry

  • Jeudi 11 novembre 2010

  • 09:30 - 10:45

    Christine Noot-Huyghe

    An introduction to the theory of arithmetic D-modules

  • 10:45 - 11:15

    Coffee break
  • 11:15 - 12:30

    Daniel Caro

    Overcoherence and holonomicity