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Titlebook: Homotopy Theory and Arithmetic Geometry – Motivic and Diophantine Aspects; LMS-CMI Research Sch Frank Neumann,Ambrus Pál Book 2021 The Edit

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发表于 2025-3-21 19:05:40 | 显示全部楼层 |阅读模式
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Titlebook: Homotopy Theory and Arithmetic Geometry – Motivic and Diophantine Aspects; LMS-CMI Research Sch Frank Neumann,Ambrus Pál Book 2021 The Edit
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
doihttps://doi.org/10.1007/978-3-030-78977-0
isbn_softcover978-3-030-78976-3
isbn_ebook978-3-030-78977-0Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Cohomological Methods in Intersection Theory, constructions of characteristic classes (as 0-cycles). This leads to the Grothendieck-Lefschetz formula, of which we give a new motivic proof. There are also a few additions to what have been told in the lectures:
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,Étale Homotopy and Obstructions to Rational Points, from different backgrounds will find it useful, but it is probably most suitable for a reader with some background in algebraic geometry who is not necessarily as familiar with modern homotopical and .-categorical methods. The original definition of the étale homotopy type is due to Artin and Mazur
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Tomer M. Schlanker, we review the applied literature on the assessment and treatment of problem behavior associated with transitions as well as provide suggestions for practitioners and researchers based on our critical analysis of the extant literature. The chapter is divided into two main sections. In the first s
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Aravind Asok,Paul Arne Østværf token systems began to be formally studied in the laboratory around the turn of the twentieth century. Since that time, their utility in application has been considered one of the most important advances not only within behavior analysis but also in the field of psychology more generally. This cha
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em-focused daytime behavior, study and clinical practice have not been very concerned with such relationships. The recommendations on therapy for treating challenging behaviors in ASD do not include sleep or are very minimal. In addition, less attention is being paid to children with low autism, who
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978-3-030-78976-3The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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