| 书目名称 | The Arithmetic of Fundamental Groups |
| 副标题 | PIA 2010 |
| 编辑 | Jakob Stix |
| 视频video | |
| 概述 | The book contains the lecture notes of the Heidelberg lectures on fundamental groups/on Coleman integration. These are introductory texts aiming to familiarize non-specialists with essential technique |
| 丛书名称 | Contributions in Mathematical and Computational Sciences |
| 图书封面 |  |
| 描述 | In the more than 100 years since the fundamental group was first introduced by Henri Poincaré it has evolved to play an important role in different areas of mathematics. Originally conceived as part of algebraic topology, this essential concept and its analogies have found numerous applications in mathematics that are still being investigated today, and which are explored in this volume, the result of a meeting at Heidelberg University that brought together mathematicians who use or study fundamental groups in their work with an eye towards applications in arithmetic. The book acknowledges the varied incarnations of the fundamental group: pro-finite, ℓ-adic, p-adic, pro-algebraic and motivic. It explores a wealth of topics that range from anabelian geometry (in particular the section conjecture), the ℓ-adic polylogarithm, gonality questions of modular curves, vector bundles in connection with monodromy, and relative pro-algebraic completions, to a motivic version of Minhyong Kim‘s non-abelian Chabauty method and p-adic integration after Coleman. The editor has also included the abstracts of all the talks given at the Heidelberg meeting, as well as the notes on Coleman integration a |
| 出版日期 | Conference proceedings 2012 |
| 关键词 | anabelian geometry; etale fundamental group; fundamental group; motivic non-abelian Chabauty method |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-23905-2 |
| isbn_softcover | 978-3-642-43942-1 |
| isbn_ebook | 978-3-642-23905-2Series ISSN 2191-303X Series E-ISSN 2191-3048 |
| issn_series | 2191-303X |
| copyright | Springer-Verlag Berlin Heidelberg 2012 |
发表于 2025-3-21 17:36:57
