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DTSTART:20230312T070000
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DTSTART:20221106T060000
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DTSTART;TZID=America/Toronto:20231024T130000
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URL:https://uwaterloo.ca/pure-mathematics/events/algebraic-arithmetic-dynam
 ics-seminar-4
SUMMARY:Algebraic & Arithmetic Dynamics Seminar
CLASS:PUBLIC
DESCRIPTION:CHATCHAI NOYTAPTIM\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSIT
 Y OF\nWATERLOO\n\n\"EQUIDISTRIBUTION OF SMALL POINTS AND GCD OF ITERATED P
 OLYNOMIALS\"\n\nIn 2006\, Favre-Rivera-Letelier\, Baker-Rumely\, and Chamb
 ert-Loir\nindependently proved equidistribution theorems of points of smal
 l\nheight. These equidistribution results have many applications in\ndynam
 ical unlikely intersection problems. In this (expository) talk\, I\ndiscus
 s a result of Hsia and Tucker in which they show that\, under\nnice condit
 ions\, there are finitely many irreducible factors of the\ngreatest common
  divisor of iterates of polynomials. A crucial step in\nthe proof—in the
  case the degree of both polynomials is greater than\n1—is to apply the 
 equidistribution theorems to obtain dynamical\nrelations of two polynomial
 s (namely\, Call-Silverman canonical height\nand Julia set).\n\nMC 4063
DTSTAMP:20260605T081321Z
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