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Elliptic curves with many points

Douglas Ulmer
Georgia Institute of Technology

Thursday, October 20, 2011
007 Kemeny Hall, 4 pm
Tea 3:30 pm, 300 Kemeny Hall

Abstract: Elliptic curves are sets of solutions of cubic polynomials in two variables and they have a remarkable group law. They are related to an old problem in calculus (computing the arc length of an ellipse, hence the name), but continue to be objects of intense research. I'll explain the basics and then discuss some open questions and recent results on the "size" of the groups in question.

This talk will be accessible to undergraduates.