Hidden Bibliographic Details
| Other authors / contributors: | Neumann, Frank.
Pál, Ambrus.
LMS-CMI Research School on Homotopy Theory and Arithmetic Geometry -- Motivic and Diophantine Aspects (2018 : London, England)
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| ISBN: | 9783030789770
3030789772
9783030789763
3030789764
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| Notes: | 5.2.5 A Snapshot of the Stable Motivic Homotopy Category.
Online resource; title from PDF title page (SpringerLink, viewed October 7, 2021).
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| Summary: | 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 Schlanks contribution gives an overview of the use of etale homotopy theory for obstructions to the existence of rational points on algebraic varieties. Finally, the article by Asok and stvr, based in part on the Nelder Fellow lecture series by stvr, 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 theory to number theory. It will be invaluable to research students entering the field, as well as postdoctoral and more established researchers.
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| Other form: | Print version: Neumann, Frank Homotopy Theory and Arithmetic Geometry - Motivic and Diophantine Aspects Cham : Springer International Publishing AG,c2021 9783030789763
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| Standard no.: | 10.1007/978-3-030-78977-0
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