## Lethbridge Number Theory and Combinatorics Seminar: James Parks

• Date: 11/10/2014
• Time: 12:00
Lecturer(s):
James Parks
Location:

University of Lethbridge

Topic:

Averages of the number of points on elliptic curves

Description:

Let \$E\$ be an elliptic curve defined over \$\mathbb{Q}\$. Let \$M_E(N)\$ be the function that counts the number of primes \$p\$ of good reduction such that \$\#E_p(\mathbb{F}_p) = N\$ where \$N\$ is a fixed integer and \$E_p(\mathbb{F}_p)\$ denotes the group of points on the elliptic curve modulo \$p\$. We consider this function on average and discuss recent results related to the constant in the asymptotic result in the average.

Other Information:
Location: B660 University Hall
Web page: http://www.cs.uleth.ca/~nathanng/ntcoseminar/