Number Theory Seminar

Date: March 18, 2019

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Laura DeMarco, Northwestern University

Title: Heights on P^1 and unlikely intersections

Abstract: I will discuss uniformity questions surrounding Unlikely Intersection problems -- the most famous of which is the Manin-Mumford Conjecture (proved by Raynaud, 1983) -- and a new result about elliptic curves and the geometry of their torsion points, joint with Holly Krieger and Hexi Ye. Our results hold over C, the field of complex numbers, but the proofs are carried out first over the field of algebraic numbers (and involve an analysis of certain height functions on P^1). Our strategy is based on equidistribution results for dynamical systems on P^1. Joint with Groups and Dynamics Seminar.

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