Date/Time Date(s) - 04/09/202511:30 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?