Özlem Ejder's Talk
Sporadic Points on Modular Curves
Abstract:
The points on the modular curve X1(n) roughly classifies the pairs (E,P) (up to isomorphism) where E is an elliptic curve and P is a point of order n on E. We call a closed point x on X1(n) sporadic if there are only finitely many closed points of degree at most deg(x); hence classifying sporadic points on X1(n) is closely related to determining the torsion subgroups of elliptic curves over a degree d field. When d= 1 or 2, Mazur and Kamienny's work show that there are no sporadic points of degree d on X1(n). In this talk, I will discuss the sporadic points of arbitrary degree. This is joint with A. Bourdon, Y. Liu, F. Odumudu and B. Viray.
Date: Wednesday, July 10, 2019
Time: 13:30 pm
Room: TB 130
