Event time:
Tuesday, February 18, 2014 - 11:30am to Monday, February 17, 2014 - 7:00pm
Location:
205 LOM
Speaker:
Arul Shankar
Speaker affiliation:
Harvard
Event description:
We will compute the average size of the 5-Selmer group of elliptic curves ordered by height, using geometry-of-numbers techniques. We will then see how this result can be used to show that the average rank of elliptic curves is less than 1. This is joint work with Manjul Bhargava.