000098158 001__ 98158 000098158 005__ 20210118122905.0 000098158 037__ $$aTAZ-TFG-2020-1926 000098158 041__ $$aeng 000098158 1001_ $$aBlasco Jiménez, Víctor 000098158 24200 $$aFermat's Last Theorem 000098158 24500 $$aEl Último Teorema de Fermat 000098158 260__ $$aZaragoza$$bUniversidad de Zaragoza$$c2020 000098158 506__ $$aby-nc-sa$$bCreative Commons$$c3.0$$uhttp://creativecommons.org/licenses/by-nc-sa/3.0/ 000098158 520__ $$aFermat's last theorem states that the equation $x^n+y^n=z^n$ does not have any non-trivial integral solution. In this work we will show the general setting of this theorem and discuss the principal ideas of Kummer's approach and the most natural relations between the mathematical objects that are behind it, which will allow us to understand the proof of the cases $n=p$, with $p$ regular prime. Finally, we will give a short comment about the relations between elliptic curves and modular forms that allowed Andrew Wiles to achieve a general and definitive proof for Fermat's conjecture.<br /><br /> 000098158 521__ $$aGraduado en Matemáticas 000098158 540__ $$aDerechos regulados por licencia Creative Commons 000098158 700__ $$aElduque Palomo, Alberto Carlos$$edir. 000098158 7102_ $$aUniversidad de Zaragoza$$bMatemáticas$$cAlgebra 000098158 8560_ $$f740232@unizar.es 000098158 8564_ $$s349136$$uhttps://zaguan.unizar.es/record/98158/files/TAZ-TFG-2020-1926.pdf$$yMemoria (eng) 000098158 909CO $$ooai:zaguan.unizar.es:98158$$pdriver$$ptrabajos-fin-grado 000098158 950__ $$a 000098158 951__ $$adeposita:2021-01-18 000098158 980__ $$aTAZ$$bTFG$$cCIEN 000098158 999__ $$a20200624212111.CREATION_DATE