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SUMMARY:On the dynamical Brauer-Manin problem 
DTSTART:20121219T140000
DTEND:20121219T151500
DTSTAMP:20260408T033917Z
UID:3aaf2aace64ebfd375db2911894c27d71dc709797e992b8e8e072f77
CATEGORIES:Conferences - Seminars
DESCRIPTION:Ekaterina Amerik (Université Paris-Sud)\nLet X be a projectiv
 e 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 unra
 mified. This is based on a small part in a joint work with a large group o
 f people (P. Kurlberg\, Kh. Nguyen\, B. Viray et al.)\, with which I am ma
 rginally concerned. Since I am not a specialist\, this is mainly to advert
 ize the problem\, hoping for some helpful comments.
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STATUS:CONFIRMED
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