On the dynamical Brauer-Manin problem

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Event details

Date 19.12.2012
Hour 14:0015:15
Speaker Ekaterina Amerik (Université Paris-Sud)
Location
Category Conferences - Seminars
Let X be a projective variety over a number field K, and f an endomorphism of X. Inspired by Scharaschkin's thesis, Hsia, Silverman and Voloch have proposed to study the "dynamical Brauer-Manin problem" for a subvariety V of X: let P be an arbitrary point on X, is the intersection of its f-orbit with V equal to the intersection of its closure in the adelic points of X with the adelic points of V? I shall make some remarks on this in the case when f is unramified. This is based on a small part in a joint work with a large group of people (P. Kurlberg, Kh. Nguyen, B. Viray et al.), with which I am marginally concerned. Since I am not a specialist, this is mainly to advertize the problem, hoping for some helpful comments.

Practical information

  • General public
  • Free

Organizer

  • CIB

Contact

  • Isabelle Derivaz-Rabii

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