|Date: Tuesday, April 15, 2014
Title: Rational Points on Elliptic and Hyperelliptic Curves
Abstract: Given a random elliptic or hyperelliptic curve of genus g over Q, how many rational points do we expect the curve to have? Equivalently, how often do we expect a random polynomial of degree n to take a square value over the rational numbers? In this talk, we give an overview of
recent conjectures and theorems giving some answers and partial answers to this question.
Speaker: Manjul Bhargava
Institution: Princeton University