书目名称 | Homotopy Theory and Arithmetic Geometry – Motivic and Diophantine Aspects |
副标题 | LMS-CMI Research Sch |
编辑 | Frank Neumann,Ambrus Pál |
视频video | |
概述 | Presents the state of the art in applications of homotopy theory to arithmetic geometry.A unique collection of original lecture notes aimed at research students.Contains lectures on étale and motivic |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | This book provides an introduction to state-of-the-art applications of homotopy theory to arithmetic geometry. .The contributions to this volume are based on original lectures by leading researchers at the LMS-CMI Research School on ‘Homotopy Theory and Arithmetic Geometry - Motivic and Diophantine Aspects’ and the Nelder Fellow Lecturer Series, which both took place at Imperial College London in the summer of 2018. The contribution by Brazelton, based on the lectures by Wickelgren, provides an introduction to arithmetic enumerative geometry, the notes of Cisinski present motivic sheaves and new cohomological methods for intersection theory, and Schlank’s contribution gives an overview of the use of étale homotopy theory for obstructions to the existence of rational points on algebraic varieties. Finally, the article by Asok and Østvær, based in part on the Nelder Fellow lecture series by Østvær, gives a survey of the interplay between motivic homotopy theory and affine algebraic geometry, with a focus on contractible algebraic varieties...Now a major trend in arithmetic geometry, this volume offers a detailed guide to the fascinating circle of recent applications of homotopy theor |
出版日期 | Book 2021 |
关键词 | Etale homotopy; Rational points; Infinity topoi; Shape theory; Brauer-Manin obstruction; Motivic homotopy |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-78977-0 |
isbn_softcover | 978-3-030-78976-3 |
isbn_ebook | 978-3-030-78977-0Series 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 |