Mathematics Colloquium

Showing elliptic curves have rational points (without actually finding them)

Christopher Skinner, Professor, Mathematics, Princeton, visiting Caltech,

When does a cubic equation E: y^2=x^3+Ax+B (A,B integers)
have finitely or infinitely many rational solutions? One answer is
given in terms of an analytic criterion through the celebrated
Birch-Swinnerton-Dyer conjecture (BSD for short). But there are other,
algebraic criteria that should also be sufficient. This talk will
introduce all these objects and describe some recent progress toward
proving the sufficiency of these criteria and the validity of BSD

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For more information, please contact Dinakar Ramakrishnan by email at [email protected].