Torsors Tale Homotopy And Applications To Rational Points
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Torsors Tale Homotopy And Applications To Rational Points
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Author : Alexei Skorobogatov
language : en
Publisher: Cambridge University Press
Release Date : 2013-04-18
Torsors Tale Homotopy And Applications To Rational Points written by Alexei Skorobogatov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Mathematics categories.
Lecture notes and research articles on the use of torsors and étale homotopy in algebraic and arithmetic geometry.
Beyond Hyperbolicity
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Author : Mark Hagen
language : en
Publisher: Cambridge University Press
Release Date : 2019-07-11
Beyond Hyperbolicity written by Mark Hagen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-11 with Mathematics categories.
Contains expository articles and research papers in geometric group theory focusing on generalisations of Gromov hyperbolicity.
Torsors Tale Homotopy And Applications To Rational Points
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Author : Alexei Skorobogatov
language : en
Publisher:
Release Date : 2013
Torsors Tale Homotopy And Applications To Rational Points written by Alexei Skorobogatov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Algebra categories.
Lecture notes and research articles on the use of torsors and étale homotopy in algebraic and arithmetic geometry.
Torsors Etale Homotopy And Applications To Rational Points
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Author : Alexei Skorobogatov
language : en
Publisher:
Release Date : 2014-05-14
Torsors Etale Homotopy And Applications To Rational Points written by Alexei Skorobogatov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
Lecture notes and research articles on the use of torsors and etale homotopy in algebraic and arithmetic geometry.
Formal Geometry And Bordism Operations
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Author : Eric Peterson
language : en
Publisher: Cambridge University Press
Release Date : 2019
Formal Geometry And Bordism Operations written by Eric Peterson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Mathematics categories.
Delivers a broad, conceptual introduction to chromatic homotopy theory, focusing on contact with arithmetic and algebraic geometry.
Periods And Nori Motives
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Author : Annette Huber
language : en
Publisher: Springer
Release Date : 2017-03-08
Periods And Nori Motives written by Annette Huber and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-08 with Mathematics categories.
This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori’s abelian category of mixed motives. It develops Nori’s approach to mixed motives from scratch, thereby filling an important gap in the literature, and then explains the connection of mixed motives to periods, including a detailed account of the theory of period numbers in the sense of Kontsevich-Zagier and their structural properties. Period numbers are central to number theory and algebraic geometry, and also play an important role in other fields such as mathematical physics. There are long-standing conjectures about their transcendence properties, best understood in the language of cohomology of algebraic varieties or, more generally, motives. Readers of this book will discover that Nori’s unconditional construction of an abelian category of motives (over fields embeddable into the complex numbers) is particularly well suited for this purpose. Notably, Kontsevich's formal period algebra represents a torsor under the motivic Galois group in Nori's sense, and the period conjecture of Kontsevich and Zagier can be recast in this setting. Periods and Nori Motives is highly informative and will appeal to graduate students interested in algebraic geometry and number theory as well as researchers working in related fields. Containing relevant background material on topics such as singular cohomology, algebraic de Rham cohomology, diagram categories and rigid tensor categories, as well as many interesting examples, the overall presentation of this book is self-contained.
Etale Homotopy
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Author : Michael Artin
language : en
Publisher: Springer
Release Date : 2006-11-14
Etale Homotopy written by Michael Artin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Lectures On Logarithmic Algebraic Geometry
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Author : Arthur Ogus
language : en
Publisher: Cambridge University Press
Release Date : 2018-11-08
Lectures On Logarithmic Algebraic Geometry written by Arthur Ogus and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-08 with Mathematics categories.
A self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry.
Fundamental Algebraic Geometry
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Author : Barbara Fantechi
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Fundamental Algebraic Geometry written by Barbara Fantechi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Presents an outline of Alexander Grothendieck's theories. This book discusses four main themes - descent theory, Hilbert and Quot schemes, the formal existence theorem, and the Picard scheme. It is suitable for those working in algebraic geometry.
Lectures On Field Theory And Topology
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Author : Daniel S. Freed
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-08-23
Lectures On Field Theory And Topology written by Daniel S. Freed and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-23 with Mathematics categories.
These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme Segal and Michael Atiyah in the late 1980s, as well as subsequent extensions. This material provides an entry point for mathematicians to delve into quantum field theory. Classification theorems in low dimensions are proved to illustrate the framework. The later lectures turn to more specialized topics in field theory, including the relationship between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free fermion systems. The accompanying mathematical explanations touch upon (higher) category theory, duals to the sphere spectrum, equivariant spectra, differential cohomology, and Dirac operators. The outcome of computations made using the Adams spectral sequence is presented and compared to results in the condensed matter literature obtained by very different means. The general perspectives and specific applications fuse into a compelling story at the interface of contemporary mathematics and theoretical physics.