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SUMMARY:Myrto Mavraki (Harvard University)
DTSTART:20201022T173000Z
DTEND:20201022T183000Z
DTSTAMP:20260423T004550Z
UID:MAGIC/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAGIC/21/">S
 tatistics in arithmetic dynamics</a>\nby Myrto Mavraki (Harvard University
 ) as part of MAGIC (Michigan - Arithmetic Geometry Initiative - Columbia)\
 n\n\nAbstract\nWe begin with an introduction to arithmetic dynamics and he
 ights attached to rational maps. We then introduce a dynamical version of 
 Lang's conjecture concerning the minimal canonical height of non-torsion r
 ational points in elliptic curves (due to Silverman) as well as a conjectu
 ral analogue of Mazur/Merel's theorem on uniform bounds of rational torsio
 n points in elliptic curves (due to Morton-Silverman). It is likely that t
 he two conjectures are harder in the dynamical setting due to the lack of 
 structure coming from a group law. We describe joint work with Pierre Le B
 oudec in which we establish statistical versions of these conjectures for 
 polynomial maps.\n
LOCATION:https://researchseminars.org/talk/MAGIC/21/
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