Homotopy Theory and Arithmetic Geometry - Motivic and Diophantine Aspects - LMS-CMI Research School, London, July 2018 (Paperback, 1st ed. 2021)

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 etale homotopy theory for obstructions to the existence of rational points on algebraic varieties. Finally, the article by Asok and Ostvaer, based in part on the Nelder Fellow lecture series by Ostvaer, 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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Lecture Notes in Mathematics, 2292
Release date:	October 2021
First published:	2021
Editors:	Frank Neumann • Ambrus Pal
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	218
Edition:	1st ed. 2021
ISBN-13:	978-3-03-078976-3
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Science & Mathematics > Mathematics > Topology > Algebraic topology Books > Science & Mathematics > Mathematics > Number theory > General
LSN:	3-03-078976-4
Barcode:	9783030789763

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