Abstract:
In 1994 Andrew Wiles presented a proof of Fermat's Last Theorem. Actually, Wiles proved that every semi-stable elliptic curve over Q is modular, a result that is arguably of greater importance than Fermat's Last Theorem which follows as a corollary. Wiles's result can be phrased in terms of properties of the zeta function of an elliptic scheme. From that point of view it is just the tip of an iceberg.
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