El Último Teorema de Fermat

Blasco Jiménez, Víctor
Elduque Palomo, Alberto Carlos (dir.)

Universidad de Zaragoza, CIEN, 2020
Matemáticas department, Algebra area

Graduado en Matemáticas

Abstract: Fermat's last theorem states that the equation $x^n+y^n=z^n$ does not have any non-trivial integral solution. In this work we will show the general setting of this theorem and discuss the principal ideas of Kummer's approach and the most natural relations between the mathematical objects that are behind it, which will allow us to understand the proof of the cases $n=p$, with $p$ regular prime. Finally, we will give a short comment about the relations between elliptic curves and modular forms that allowed Andrew Wiles to achieve a general and definitive proof for Fermat's conjecture.

Tipo de Trabajo Académico: Trabajo Fin de Grado