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SUMMARY:Myrto Mavraki (Harvard)
DTSTART:20211026T203000Z
DTEND:20211026T213000Z
DTSTAMP:20260423T125618Z
UID:MITNT/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/36/">O
 n the dynamical Bogomolov conjecture</a>\nby Myrto Mavraki (Harvard) as pa
 rt of MIT number theory seminar\n\nLecture held in Room 2-143 in the Simon
 s building.\n\nAbstract\nMotivated by the Manin-Mumford conjecture\, estab
 lished by Raynaud\, and following the analogy of torsion with preperiodic 
 points\, Zhang posed a dynamical Manin-Mumford conjecture. Using a canonic
 al height introduced by Call and Silverman he further formulated a dynamic
 al Bogomolov conjecture. A special case of these conjectures has recently 
 been established by Nguyen\, Ghioca and Ye. In particular\, they show that
  two rational maps have at most finitely many common preperiodic points\, 
 unless they are 'related'. In this talk we discuss relative and uniform ve
 rsions of such results. This is joint work with Harry Schmidt.\n
LOCATION:https://researchseminars.org/talk/MITNT/36/
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