Date/Time
Date(s) - 04/09/2025
11:30 am - 12:30 pm

Speaker: Maryam Nowroozi (University of Warwick)
Research area: Number theory

Location: Hamilton Hall, Room 207

Title: Perfect powers in elliptic divisibility sequences

Abstract: Let E be an elliptic curve over the rationals given by an integral Weierstrass model and let P be a rational point of infinite order. The multiple nP has the form (A_n/B_n^2,C_n/B_n^3) where A_n, B_n, C_n are integers with A_nC_n and B_n coprime, and B_n positive. The sequence (B_n) is called the elliptic divisibility sequence generated by P. In this talk we answer the question posed in 2007 by Everest, Reynolds and Stevens: does the sequence (B_n) contain only finitely many perfect powers?