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SUMMARY:Nicole Looper (Brown University)
DTSTART:20200331T203000Z
DTEND:20200331T213000Z
DTSTAMP:20260423T124855Z
UID:MITNT/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/2/">Eq
 uidistribution techniques in arithmetic dynamics</a>\nby Nicole Looper (Br
 own University) as part of MIT number theory seminar\n\n\nAbstract\nThis t
 alk is about the arithmetic of points of small canonical height\nrelative 
 to dynamical systems over number fields\, particularly those\naspects amen
 able to the use of equidistribution techniques. Past milestones\nin the su
 bject include the proof of the Manin-Mumford Conjecture given by\nSzpiro-U
 llmo-Zhang\, and Baker-DeMarco's work on the finiteness of common\npreperi
 odic points of rational functions. Recently\, quantitative\nequidistributi
 on techniques have emerged both as a way of improving upon\nsome of these 
 old results\, and as an avenue to studying previously\ninaccessible proble
 ms\, such as the Uniform Boundedness Conjecture of Morton\nand Silverman. 
 I will describe the key ideas behind these developments\, and\nraise relat
 ed questions for future research.\n
LOCATION:https://researchseminars.org/talk/MITNT/2/
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