13 Lectures on Fermat's Last Theorem

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Fermat's last theorem has captivated mathematicians for over three centuries, inspiring numerous theories and methods aimed at its proof. This collection of lectures offers a concise overview of the theorem's history, recent results, and key theories related to the problem. The content is accessible to a general mathematical audience, though some details may be abbreviated. The final lectures explore analogues to Fermat's theorem. A forthcoming companion book will delve deeper into the technical aspects for those seeking a more comprehensive understanding.