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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0075-8434 raic 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 theor978-3-030-78976-3978-3-030-78977-0Series ISSN 0075-8434 Series E-ISSN 1617-9692

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Homotopy Theory and Arithmetic Geometry – Motivic and Diophantine AspectsLMS-CMI Research Sch

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Book 2021y 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

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0075-8434 at research students.Contains lectures on étale and motivic 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 ‘Homoto

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Book 2021ased 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,

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,Étale Homotopy and Obstructions to Rational Points,ecessarily as familiar with modern homotopical and .-categorical methods. The original definition of the étale homotopy type is due to Artin and Mazur, and the idea was further developed by Friedlander. In recent years there has been a lot of activity around étale homotopy and its applications.

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Approximating Anatomical Brain Connectivity with Diffusion Tensor MRI Using Kernel-Based Diffusion Spathways in the human brain can be reproduced noninvasively as well. The primary advantages of the algorithm lie in the handling of fiber branching and crossing and its seamless adaptation to the platform established by new imaging techniques, such as high angular, q-space, or generalized diffusion tensor imaging.