Shulph Ink
Homotopy Theory and Arithmetic Geometry - Motivic and Diophantine Aspects: LMS-CMI Research School, London, July 2018
Homotopy Theory and Arithmetic Geometry - Motivic and Diophantine Aspects: LMS-CMI Research School, London, July 2018
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Excellent- More about Homotopy Theory and Arithmetic Geometry - Motivic and Diophantine Aspects: LMS-CMI Research School, London, July 2018
This book provides an introduction to state-of-the-art applications of homotopy theory to arithmetic geometry, with contributions from leading researchers at the LMS-CMI Research School and the Nelder Fellow Lecturer Series. It covers arithmetic enumerative geometry, motivic sheaves, intersection theory, étale homotopy theory, and the interplay between motivic homotopy theory and affine algebraic geometry.
Format: Paperback / softback
Length: 218 pages
Publication date: 30 September 2021
Publisher: Springer Nature Switzerland AG
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 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 theory to number theory. It will be invaluable to research students entering the field, as well as postdoctoral and more established researchers.
Weight: 355g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030789763
Edition number: 1st ed. 2021
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