Download or read book Elliptic Curves and Icosahedral Galois Representations written by Edray Herber Goins and published by . This book was released on 1999 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Icosahedral Galois Representations and Elliptic Curves written by Annette Klute and published by . This book was released on 1996 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elliptic Curves and Big Galois Representations written by Daniel Delbourgo and published by Cambridge University Press. This book was released on 2008-07-31 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the arithmetic of modular forms and elliptic curves; self-contained and ideal for both graduate students and professional number theorists.
Download or read book Mod 4 Galois Representations and Elliptic Curves written by Christopher Holden and published by . This book was released on 2008 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Galois Representations of Elliptic Curves and Abelian Entanglements written by and published by . This book was released on 2015 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Galois Representations Associated to Torsion Points of Elliptic Curves written by Theodore Hwa and published by . This book was released on 2003 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elliptic Curves and Related Topics written by H. Kisilevsky and published by American Mathematical Soc.. This book was released on 1994-01-01 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents the proceedings of a workshop on elliptic curves held in St. Adele, Quebec, in February 1992. Containing both expository and research articles on the theory of elliptic curves, this collection covers a range of topics, from Langlands's theory to the algebraic geometry of elliptic curves, from Iwasawa theory to computational aspects of elliptic curves. This book is especially significant in that it covers topics comprising the main ingredients in Andrew Wiles's recent result on Fermat's Last Theorem.
Download or read book Elliptic Curves Modular Forms Fermat s Last Theorem written by John Coates and published by International Press of Boston. This book was released on 1995 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elliptic Curves and Modular Forms written by Proceedings of the National Academy of Sciences and published by National Academies Press. This book was released on 1998-01-01 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Elliptic Units and P adic Galois Representations Attached to Elliptic Curves written by Alvaro Lozano-Robledo and published by . This book was released on 2005 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometric Modular Forms and Elliptic Curves written by Haruzo Hida and published by World Scientific. This book was released on 2000 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms. The construction of Galois representations, which play a fundamental role in Wiles' proof of the Shimura -- Taniyama conjecture, is given. In addition, the book presents an outline of the proof of diverse modularity results of two-dimensional Galois representations (including that of Wiles), as well as some of the author's new results in that direction.
Download or read book Images of Metabelian Galois Representations Associated to Elliptic Curves written by and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let $E$ be an elliptic curve over $\mathbb{Q}$. For $\ell$-adic representations associated to $E$, much is understood about the sizes of the images and the conjugacy invariants of the images of Frobenius elements. On the other hand, much less is known about the outer Galois representations associated to $E$. These are representations from $\mathrm{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})$ to an outer automorphism group of a free pro-$\ell$ group. \newline The goal of this thesis is to take a first step in understanding more concretely more general Galois representations associated to $E$ (to the automorphism group of a non-abelian group). In particular, I study the surjectivity of a Galois representation to a certain subgroup of the automorphism group of a metabelian group. I use the Frattini lifting theorem to turn the question of the surjectivity of this representation into a question about the surjectivity of a representation to the Frattini quotient of this group. Then, I compute some conjugacy invariants for the images of the Frobenius elements. This will give rise to new arithmetic information analogous to traces of Frobenius of the $\ell$-adic representation.
Download or read book Galois representations from non torsion points on elliptic curves written by Matthew Hughes and published by . This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Galois Representations Associated to Torsion Points of Elliptic Curves written by Seong Eun Jung and published by . This book was released on 2018 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Galois Representations Attached to Elliptic Curves and Diophantine Problems written by Gerhard Frey and published by . This book was released on 2000 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elliptic Curves Modular Forms Fermat s Last Theorem written by John Coates and published by International Press of Boston. This book was released on 1997 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings are based on a conference at the Chinese University of Hong Kong, held in response to Andrew Wile's conjecture that every elliptic curve over Q is modular. The survey article describing Wile's work is included as the first article in the present edition.
Download or read book Elliptic Curves Over Finite Fields and Their L Torsion Galois Representations written by Michael Baker and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Let $q$ and $\ell$ be distinct primes. Given an elliptic curve $E$ over $\mathbf{F}_q$, we study the behaviour of the 2-dimensional Galois representation of $\mathrm{Gal}(\overline{\mathbf{F}_q}/\mathbf{F}_q) \cong \widehat{\mathbf Z}$ on its $\ell$-torsion subgroup $E[\ell]$. This leads us to the problem of counting elliptic curves with prescribed $\ell$-torsion Galois representations, which we answer for small primes $\ell$ by counting rational points on suitable modular curves. The resulting exact formulas yield expressions for certain sums of Hurwitz class numbers.
