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Lecture By Prof. Min Sha of South China Normal University
time: 2020-09-28

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.




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