EVENT DETAILS AND ABSTRACT


Dynamical Systems Seminar

Title: Uniform Boundedness Conjecture for polynomials Part 2
Speaker: Nicole Looper
Speaker Info: University of Cambridge
Brief Description:
Special Note: This is a 2-hour seminar
Abstract:

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 special cases the theorems of Mazur and Merel on the rational torsion points of elliptic curves. In this talk, I will discuss a uniform boundedness theorem for unicritical polynomials, along with the relevant tools from Diophantine geometry. I will also discuss connections to other results concerning points of small canonical height relative to polynomials.
Date: Tuesday, February 26, 2019
Time: 10:00am
Where: Lunt 102
Contact Person: Laura DeMarco
Contact email: demarco@northwestern.edu
Contact Phone:
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