| 書(shū)目名稱 | Perfectoid Spaces | | 編輯 | Debargha Banerjee,Kiran S. Kedlaya,Chitrabhanu Cha | | 視頻video | http://file.papertrans.cn/744/743688/743688.mp4 | | 概述 | Discusses the theory of perfectoid spaces and their applications to the theory of modular forms.Introduces the p-adic Hodge theory, φ-module, and Γ-module.Explains the relation between Fargues–Fontain | | 叢書(shū)名稱 | Infosys Science Foundation Series | | 圖書(shū)封面 |  | | 描述 | This book contains selected chapters on perfectoid spaces, their introduction and applications, as invented by Peter Scholze in his Fields Medal winning work. These contributions are presented at the conference on “Perfectoid Spaces” held at the International Centre for Theoretical Sciences, Bengaluru, India, from 9–20 September 2019. The objective of the book is to give an advanced introduction to Scholze’s theory and understand the relation between perfectoid spaces and some aspects of arithmetic of modular (or, more generally, automorphic) forms such as representations mod .p., lifting of modular forms, completed cohomology, local Langlands program, and special values of .L.-functions. All chapters are contributed by experts in the area of arithmetic geometry that will?facilitate?future research in the direction. | | 出版日期 | Book 2022 | | 關(guān)鍵詞 | perfectoid spaces; arithmetic geometry; modular forms; p-adic Hodge theory; representation theory; algebr | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-16-7121-0 | | isbn_softcover | 978-981-16-7123-4 | | isbn_ebook | 978-981-16-7121-0Series ISSN 2363-6149 Series E-ISSN 2363-6157 | | issn_series | 2363-6149 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
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