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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
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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

Neumann, Frank
Pál, Ambrus

Paperback

Series: Lecture Notes in Mathematics, Book 2292

General MathematicsGeometry

ISBN10: 3030789764
ISBN13: 9783030789763
Publisher: Springer Nature
Published: Sep 30 2021
Pages: 218
Weight: 0.72
Height: 0.48 Width: 6.14 Depth: 9.21
Language: English
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 stv r, based in part on the Nelder Fellow lecture series by stv r, gives a survey of the interplay between motivic homotopy theory and affine algebraic geometry, with a focus on contractible algebraic varieties.

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