An elementary approach to the group law on elliptic curvesMPIM

by Sander Zwergers (Universität zu Köln)

Wednesday Jun 4, 2025, 2:30 PM → 3:30 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

Number theory lunch seminar 

We give a simple and completely elementary proof of the associativity of the addition on an elliptic curve, only using the explicit definition of the group structure. Further, we discuss the geometric interpretation of the sum of points on the elliptic curve.