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Seminar

On the arithmetic of hyperelliptic curves: The rank of elliptic curves (Bowen Lecture) October 09, 2012 (04:00 PM PDT - 05:00 PM PDT)
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Location: UC Berkeley
Speaker(s) Benedict Gross
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Series Title: On the arithmetic of hyperelliptic curves

Tuesday October 9th
Lecture 1: The rank of elliptic curves
50 Birge Hall

Abstract:
I will review why elliptic curves are somewhat special, define the rank of a curve over the rational numbers, and motivate the conjecture of Birch and Swinnerton-Dyer on the L-function. After stating what is known, I will briefly introduce a new method, due to Manjul Bhargava, for studying the average rank.

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