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Speaker:

Laura DeMarco
Affiliation:

Northwestern University
Date:

Tue, 03/07/2018 - 15:00 - 15:50
Location:

MPIM Lecture Hall In 2011, Matt Baker and I used height functions and arithmetic equidistribution to show when two complex rational functions have only finitely many (pre-)periodic points in common. In this talk, I will explain how to obtain uniform bounds in families, inspired by questions and conjectures about elliptic curves and their torsion points. The key ingredient is an estimate on the Arakelov-Zhang intersection numbers in families of heights. This is joint work with Holly Krieger and Hexi Ye.

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