Dynamical uniform boundedness and the abc-conjecture

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• Nicole Looper (Cambridge)
• Tuesday 12 February 2019, 14:30-15:30
• MR13.

If you have a question about this talk, please contact Beth Romano.

In 1994, Morton and Silverman formulated what is now known as the Uniform Boundedness Conjecture. A major open problem in arithmetic dynamics, the conjecture includes as particular cases the theorems of Mazur and Merel on uniform bounds on the rational torsion points on elliptic curves. In this talk, I will discuss a uniform boundedness theorem for unicritical polynomials. I will also discuss the relevant tools from Diophantine geometry and their relation to the abc-conjecture.

This talk is part of the Number Theory Seminar series.

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