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SUMMARY:Jacqueline Anderson (Bridgewater State University)\, Michelle Mane
 s (University of Hawaii)\, and Bella Tobin (Oklahoma State University)
DTSTART:20200701T180000Z
DTEND:20200701T183000Z
DTSTAMP:20260423T200600Z
UID:ANTS14/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ANTS14/11/">
 Cubic post-critically finite polynomials defined over $\\mathbb Q$</a>\nby
  Jacqueline Anderson (Bridgewater State University)\, Michelle Manes (Univ
 ersity of Hawaii)\, and Bella Tobin (Oklahoma State University) as part of
  Algorithmic Number Theory Symposium (ANTS XIV)\n\n\nAbstract\nWe describe
  and implement an algorithm to find all post-critically finite (PCF) cubic
  polynomials defined over $\\Q$\, up to conjugacy over $\\PGL_2(\\Q)$. We 
 describe normal forms that classify equivalence classes of cubic polynomia
 ls while respecting the field of definition. Applying known bounds on the 
 coefficients of post-critically bounded polynomials to these normal forms 
 simultaneously at all places of $\\Q$\, we create a finite search space of
  cubic polynomials over $\\Q$ that may be PCF. Using a computer search of 
 these possibly PCF cubic polynomials\, we find fifteen which are in fact P
 CF.\n\nThe slides used in the pre-recorded talk are available <a href="htt
 ps://math.mit.edu/~drew/ANTSXIV/CubicPostcriticallyFiniteVideoSlides.pdf">
 here</a>.\n\nChairs: Alina Ostafe and Kate Stange\n
LOCATION:https://researchseminars.org/talk/ANTS14/11/
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