| 书目名称 | The p-adic Simpson Correspondence and Hodge-Tate Local Systems | | 编辑 | Ahmed Abbes,Michel Gros | | 视频video | http://file.papertrans.cn/923/922551/922551.mp4 | | 概述 | Makes key contributions to the foundations of the p-adic Simpson correspondence.Establishes the functoriality of the p-adic Simpson Correspondence by proper direct images.Provides an exceptionally rig | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | .This book delves into the .p-.adic Simpson correspondence, its construction, and development. Offering fresh and innovative perspectives on this important topic in algebraic geometry, the text serves a dual purpose: it describes an important tool in .p-.adic Hodge theory, which has recently attracted significant interest, and also provides a comprehensive resource for researchers. Unique among the books in the existing literature in this field, it combines theoretical advances, novel constructions, and connections to Hodge-Tate local systems..This exposition builds upon the foundation laid by Faltings, the collaborative efforts of the two authors with T. Tsuji, and contributions from other researchers. Faltings initiated in 2005 a .p-.adic analogue of the (complex) Simpson correspondence, whose construction has been taken up in several different ways. Following the approach they initiated with T. Tsuji, the authors develop new features of the .p-.adic Simpson correspondence, inspired by their construction of the relative Hodge-Tate spectral sequence. First, they address the connection to Hodge-Tate local systems. Then they establish the functoriality of the .p-.adic Simpson corres | | 出版日期 | Book 2024 | | 关键词 | p-adic Simpson correspondence; p-adic Hodge theory; Dolbeault modules; Higgs bundles; Hodge-Tate local s | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-55914-3 | | isbn_softcover | 978-3-031-55913-6 | | isbn_ebook | 978-3-031-55914-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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