Title: Charting the Land of Elliptic Curves Speaker: William Stein (Harvard University) Date/Time: Wednesday, March 20, 2-3pm, SC 507 Abstract: I will discuss some reasons why elliptic curves over the rational numbers are so interesting, then discuss Swinnerton-Dyer's early tables of elliptic curves from Antwerp IV and Cremona's systematic extension of those tables. In a different direction, I'll talk about Brumer and McGuinness's table of curves of prime conductor, and about a recent push by the author and Mark Watkins to extend that table to composite conductor. Finally, I'll talk about extending Swinnerton-Dyer's tables to abelian varieties (higher dimensional analogues of elliptic curves).