Number Theory

Title: Frobenius fields for elliptic curves
Speaker: Alina Cojocaru
Speaker Info: UIC
Brief Description:
Special Note:

Let E be an elliptic curve defined over Q. For a prime p of good reduction for E, let pi_p be the p-Weil root of E and Q(pi_p) the associated imaginary quadratic field generated by pi_p. In 1976, Serge Lang and Hale Trotter formulated a conjectural asymptotic formula for the number of primes p < x for which Q(pi_p) is isomorphic to a fixed imaginary quadratic field. I will discuss progress on this conjecture, in particular an average result confirming the predicted asymptotic formula. The latter is joint work with Henryk Iwaniec and Nathan Jones.
Date: Monday, April 29, 2013
Time: 3:00PM
Where: Lunt 107
Contact Person: Simon Marshall
Contact email: slm@math.northwestern.edu
Contact Phone: 847-467-0715
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