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Titlebook: Elliptic Curves, Hilbert Modular Forms and Galois Deformations; Laurent Berger,Gebhard Böckle,John Voight Textbook 2013 Springer Basel 201

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发表于 2025-3-21 19:08:05 | 显示全部楼层 |阅读模式
书目名称Elliptic Curves, Hilbert Modular Forms and Galois Deformations
编辑Laurent Berger,Gebhard Böckle,John Voight
视频video
概述The book contains the first published notes on the recent developments and major changes in Galois deformation theory during the last decade (deformations of pseudo-representations, framed deformation
丛书名称Advanced Courses in Mathematics - CRM Barcelona
图书封面Titlebook: Elliptic Curves, Hilbert Modular Forms and Galois Deformations;  Laurent Berger,Gebhard Böckle,John Voight Textbook 2013 Springer Basel 201
描述.The notes in this volume correspond to advanced courses held at the Centre de Recerca Matemàtica as part of the research program in Arithmetic Geometry in the 2009-2010 academic year..The notes by Laurent Berger provide an introduction to .p.-adic Galois representations and Fontaine rings, which are especially useful for describing many local deformation rings at .p. that arise naturally in Galois deformation theory..The notes by Gebhard Böckle offer a comprehensive course on Galois deformation theory, starting from the foundational results of Mazur and discussing in detail the theory of pseudo-representations and their deformations, local deformations at places l ≠ p and local deformations at .p. which are flat. In the last section,the results of Böckle and Kisin on presentations of global deformation rings over local ones are discussed.. The notes by Mladen Dimitrov present the basics of the arithmetic theory of Hilbert modular forms and varieties, with an emphasis on the study of the images of the attached Galois representations, on modularity lifting theorems over totally real number fields, and on the cohomology of Hilbert modular varieties with integral coefficients.. The no
出版日期Textbook 2013
关键词Galois representations; Hilbert modular forms; elliptic curves
版次1
doihttps://doi.org/10.1007/978-3-0348-0618-3
isbn_softcover978-3-0348-0617-6
isbn_ebook978-3-0348-0618-3Series ISSN 2297-0304 Series E-ISSN 2297-0312
issn_series 2297-0304
copyrightSpringer Basel 2013
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发表于 2025-3-21 23:08:14 | 显示全部楼层
Arithmetic Aspects of Hilbert Modular Forms and Varietiesreplaced by a totally real number field. The aim of these notes is to present the basics of their arithmetic theory and to describe some of the recent results in the area. A special emphasis will be put on the following two subjects: images of Galois representations associated to Hilbert modular for
发表于 2025-3-22 01:41:34 | 显示全部楼层
Explicit Methods for Hilbert Modular Formsa wide variety of mathematical problems. This subject has seen dramatic progress during the past half-century in an environment where both abstract theory and explicit computation have developed in parallel. Experiments will remain an essential tool in the years ahead, especially as we turn from cla
发表于 2025-3-22 05:30:58 | 显示全部楼层
Notes on the Parity Conjectureecture for elliptic curves over number fields. Along the way, we review local and global root numbers of elliptic curves and their classification, and we end by discussing some peculiar consequences of the parity conjecture.
发表于 2025-3-22 12:38:34 | 显示全部楼层
https://doi.org/10.1007/978-3-322-91789-8a wide variety of mathematical problems. This subject has seen dramatic progress during the past half-century in an environment where both abstract theory and explicit computation have developed in parallel. Experiments will remain an essential tool in the years ahead, especially as we turn from classical contexts to less familiar terrain.
发表于 2025-3-22 14:44:19 | 显示全部楼层
Komplexe Zahlen und Funktionen,ecture for elliptic curves over number fields. Along the way, we review local and global root numbers of elliptic curves and their classification, and we end by discussing some peculiar consequences of the parity conjecture.
发表于 2025-3-22 18:37:48 | 显示全部楼层
发表于 2025-3-23 00:01:32 | 显示全部楼层
Notes on the Parity Conjectureecture for elliptic curves over number fields. Along the way, we review local and global root numbers of elliptic curves and their classification, and we end by discussing some peculiar consequences of the parity conjecture.
发表于 2025-3-23 02:03:46 | 显示全部楼层
发表于 2025-3-23 08:22:44 | 显示全部楼层
Laurent Berger,Gebhard Böckle,John VoightThe book contains the first published notes on the recent developments and major changes in Galois deformation theory during the last decade (deformations of pseudo-representations, framed deformation
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