Back to Departmental Colloquium: Spring 2006
Departmental Colloquium
Date: Thursday, Jan 19, 2006
Time: 4:15PM
Location: JWB 335
Kartik Prasanna
UCLA
Title |
Elliptic curves, quadratic twists and L-values |
Abstract |
The first half of the talk will be an elementary discussion of elliptic curves, their associated L-functions and the structure of the Birch and Swinnerton-Dyer conjecture (BSD) for the behaviour of such L-functions at the central point s=1. In the second half, I will begin by explaining a theorem of Waldspurger on nonvanishing of central values of quadratic twists, and its applications, most notably to BSD. Finally, I will formulate a conjectural “mod p” analog of Waldspurger’s theorem and describe some recent results that are related to this problem. |
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