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Mathematics Colloquium

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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

 

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