EVENT DETAILS AND ABSTRACT

Title: Twin primes for elliptic curves
Speaker: Professor Alina Cojocaru
Speaker Info: UIC
Brief Description:
Special Note:
Abstract:

For an elliptic curve E over Q and for a prime p, we let E_p denote the reduction of E modulo p. In 1988, Neal Koblitz asked for the number of primes p < x for which E_p(F_p) forms a group of prime order. In many ways, this question may be viewed as an analogue of the classical twin prime conjecture. In my talk, I will discuss an average version of Koblitz's question. This is joint work with Antal Balog and Chantal David.