|Date: Monday, November 06, 2017
Location: 4088 East Hall (4:10 PM to 5:30 PM)
Title: A probabilistic model for the distribution of ranks of elliptic curves over Q
Abstract: In this talk, we propose a new probabilistic model for the distribution of ranks of elliptic curves in families of fixed Selmer rank, and compare the predictions with previous results, and with the databases of curves over the rationals that we have at our disposal. In addition, we document a phenomenon we refer to as Selmer bias that seems to play an important role in the data and in our models.
Speaker: Álvaro Lozano-Robledo
Institution: University of Connecticut
Event Organizer: Wei Ho