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 |  | 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 | doi | https://doi.org/10.1007/978-3-0348-0618-3 | isbn_softcover | 978-3-0348-0617-6 | isbn_ebook | 978-3-0348-0618-3Series ISSN 2297-0304 Series E-ISSN 2297-0312 | issn_series | 2297-0304 | copyright | Springer Basel 2013 |
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