Torsion points with multiplicatively dependent coordinates on elliptic curves

Speaker: 

Min Sha

Affiliation: 

UNSW Sydney

Date: 

Wed, 16/10/2019 - 3:00pm

Venue: 

RC-4082, The Red Centre, UNSW

Abstract: 

Recently, joint with Fabrizio Barroero we proved that on an elliptic curve defined over a number field there are only finitely many torsion points whose coordinates are multiplicatively dependent. In this talk, I will present how we can obtain an effective result when the elliptic curve is defined over the rational numbers or has complex multiplication. 
(This is joint work with Fabrizio Barroero)

School Seminar Series: