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SUMMARY:Dynamical uniform boundedness and the abc-conjecture - Nicole Loop
 er (Cambridge)
DTSTART:20190212T143000Z
DTEND:20190212T153000Z
UID:TALK116080@talks.cam.ac.uk
CONTACT:Beth Romano
DESCRIPTION:In 1994\, Morton and Silverman formulated what is now known as
  the \nUniform Boundedness Conjecture.  A major open problem in arithmetic
  \ndynamics\, the conjecture includes as particular cases the theorems of 
 \nMazur and Merel on uniform bounds on the rational torsion points on \nel
 liptic curves.  In this talk\, I will discuss a uniform boundedness \ntheo
 rem for unicritical polynomials.  I will also discuss the relevant \ntools
  from Diophantine geometry and their relation to the \nabc-conjecture.
LOCATION:MR13
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