Different versions of the modularity theorem

dc.contributor	Graduate Program in Mathematics.
dc.contributor.advisor	Özman, Ekin.
dc.contributor.author	Bildik, İlkiz.
dc.date.accessioned	2023-03-16T11:21:43Z
dc.date.available	2023-03-16T11:21:43Z
dc.date.issued	2017.
dc.identifier.other	MATH 2017 B56
dc.identifier.uri	http://digitalarchive.boun.edu.tr/handle/123456789/15297
dc.description.abstract	One of the most interesting results in number theory is the proof of the Modu larity Theorem. The Modularity Theorem has many diﬀerent versions. The geometric version states that there is a surjective morphism between elliptic curves and modular curves over the ﬁeld of rational numbers. The arithmetic version states that there is a relation between elliptic curves over the ﬁeld of rational numbers and modular forms. In this thesis, we will give an outline of a proof of the fact that the geometric version of the Modularity Theorem implies the arithmetic version.
dc.format.extent	30 cm.
dc.publisher	Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2017.
dc.subject.lcsh	Number theory.
dc.title	Different versions of the modularity theorem
dc.format.pages	ix, 53 leaves ;