Title: Torsion points with multiplicatively dependent coordinates on elliptic curves
Speaker: Prof. Min Sha （South China Normal University）
Time: Fri, Sep.25 2020, PM: 16:00-17:00
Location: 4318, Building No.4, Wushan Campus
Inviter: Prof. Su Hu
Abstract:
In this talk, I will present some recent results about the finiteness problem of torsion points on an elliptic curve whose coordinates satisfy some multiplicative dependence relations. We prove that on an elliptic curve defined over a number field there are only finitely many torsion points whose coordinates are multiplicatively dependent. Moreover, we produce an effective result when the elliptic curve is defined over the rational numbers or has complex multiplication. This is joint work with Fabrizio Barroero.
