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Lethbridge Number Theory and Combinatorics Seminar
Date: February 24, 2020
Time: 12 to 12:50 p.m.
Lecturer(s): Peng-Jie Wong (University of Lethbridge)
Location: University of Lethbridge, W561
Topic: Cyclicity of CM Elliptic Curves Modulo p
Description: Let E be a CM elliptic curve defined over the rational numbers. In light of the Lang-Trotter conjecture, there is a question asking for an asymptotic formula for the number of primes p < x for which the reduction modulo p of E is cyclic. This has been studied by Akbary, Cojocaru, Gupta, M.R.Murty, V.K.Murty, and Serre. In this talk, we will discuss their work and some variants of the question.