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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Pure Maths Colloquium: Classical Diophantine Problems and the Proof of Fermat's Last Theorem

Presented by Samir Siksek, University of Warwick

4 December 2006 16:00 in CM221

Wiles' proof of Fermat's Last Theorem is one of the
happiest memories of the 20th century. Unfortunately,
Wiles' proof does not readily extend in a way that
allows us to solve many other classical Diophantine
problems. In this talk, based on joint work with
Bugeaud and Mignotte, we explain how the proof of
Fermat's Last Theorem can be combined with older
analytic techniques due to Baker, in a way that solves
several classical Diophantine problems. For example,
we show that the only perfect powers in the Fibonacci
sequences are 0, 1, 8, 144.

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