Title:  Verification of the Birch and Swinnerton-Dyer Conjecture for
Specific Elliptic Curves
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Speaker:  William Stein,  UCSD </br>



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Abstract: 
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In this talk I will discuss several theorems about the Birch
and Swinnerton-Dyer  conjecture, and computational methods for
verifying
the full conjecture for specific elliptic curves.    An application of
these techniques that I carried out this year with a group of
students is to show that if E is a non-CM elliptic curve
over Q of conductor <1000 and rank <=1, then the full
Birch and Swinnerton-Dyer conjecture is true for E up to prime divisors
of
the Tamagawa numbers of E and orders of rational cyclic subgroups of E.
There are many projects of a similar nature left.

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