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Diophantine equations after Wiles

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The past fifteen years have witnessed a number of spectacular results in the field of Diophantine equations, ranging from Andrew Wiles’ proof of Fermat’s Last Theorem to the work of Preda Mihailescu on Catalan’s Conjecture. In this talk, we will survey the state of the art in the field and describe a number of open problems of wildly variable tractability.

This talk is part of the Kuwait Foundation Lectures series.

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