Sheaves and Functions Modulo p: Lectures on the Woods Hole Trace Formula: Series Number 429 (London Mathematical Society Lecture Note Series, Series Number 429) - Softcover
Book 356 of 387: London Mathematical Society Lecture Notes
Synopsis
Describes how to use coherent sheaves and cohomology to prove combinatorial and number theoretical identities over finite fields.
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About the Author
Lenny Taelman is Professor of Algebraic Geometry at the University of Amsterdam.
"About this title" may belong to another edition of this title.
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Sheaves and Functions Modulo p: Lectures on the Woods Hole Trace Formula: 429 (London Mathematical Society Lecture Note Series, Series Number 429)
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ISBN 13: 9781316502594
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Sheaves and Functions Modulo p (Paperback)
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ISBN 10: 1316502597
ISBN 13: 9781316502594
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Paperback. Condition: new. Paperback. The Woods Hole trace formula is a Lefschetz fixed-point theorem for coherent cohomology on algebraic varieties. It leads to a version of the sheaves-functions dictionary of Deligne, relating characteristic-p-valued functions on the rational points of varieties over finite fields to coherent modules equipped with a Frobenius structure. This book begins with a short introduction to the homological theory of crystals of Boeckle and Pink with the aim of introducing the sheaves-functions dictionary as quickly as possible, illustrated with elementary examples and classical applications. Subsequently, the theory and results are expanded to include infinite coefficients, L-functions, and applications to special values of Goss L-functions and zeta functions. Based on lectures given at the Morningside Center in Beijing in 2013, this book serves as both an introduction to the Woods Hole trace formula and the sheaves-functions dictionary, and to some advanced applications on characteristic p zeta values. This graduate-level introduction describes a version of the sheaves-functions dictionary of Deligne, relating characteristic-p-valued functions on the rational points of varieties over finite fields to coherent modules equipped with a Frobenius structure. It includes classical examples as well as new results on characteristic p zeta values. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781316502594
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Sheaves and Functions Modulo P: Lectures on the Woods Hole Trace Formula
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Sheaves and Functions Modulo p: Lectures on the Woods Hole Trace Formula
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Sheaves and Functions Modulo p (Paperback)
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ISBN 10: 1316502597
ISBN 13: 9781316502594
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Paperback. Condition: new. Paperback. The Woods Hole trace formula is a Lefschetz fixed-point theorem for coherent cohomology on algebraic varieties. It leads to a version of the sheaves-functions dictionary of Deligne, relating characteristic-p-valued functions on the rational points of varieties over finite fields to coherent modules equipped with a Frobenius structure. This book begins with a short introduction to the homological theory of crystals of Boeckle and Pink with the aim of introducing the sheaves-functions dictionary as quickly as possible, illustrated with elementary examples and classical applications. Subsequently, the theory and results are expanded to include infinite coefficients, L-functions, and applications to special values of Goss L-functions and zeta functions. Based on lectures given at the Morningside Center in Beijing in 2013, this book serves as both an introduction to the Woods Hole trace formula and the sheaves-functions dictionary, and to some advanced applications on characteristic p zeta values. This graduate-level introduction describes a version of the sheaves-functions dictionary of Deligne, relating characteristic-p-valued functions on the rational points of varieties over finite fields to coherent modules equipped with a Frobenius structure. It includes classical examples as well as new results on characteristic p zeta values. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781316502594
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Sheaves and Functions Modulo p
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Condition: New. This graduate-level introduction describes a version of the sheaves-functions dictionary of Deligne, relating characteristic-p-valued functions on the rational points of varieties over finite fields to coherent modules equipped with a Frobenius structure. I. Seller Inventory # 598744273
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Sheaves and Functions Modulo p (Paperback)
Published by
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ISBN 10: 1316502597
ISBN 13: 9781316502594
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Paperback. Condition: new. Paperback. The Woods Hole trace formula is a Lefschetz fixed-point theorem for coherent cohomology on algebraic varieties. It leads to a version of the sheaves-functions dictionary of Deligne, relating characteristic-p-valued functions on the rational points of varieties over finite fields to coherent modules equipped with a Frobenius structure. This book begins with a short introduction to the homological theory of crystals of Boeckle and Pink with the aim of introducing the sheaves-functions dictionary as quickly as possible, illustrated with elementary examples and classical applications. Subsequently, the theory and results are expanded to include infinite coefficients, L-functions, and applications to special values of Goss L-functions and zeta functions. Based on lectures given at the Morningside Center in Beijing in 2013, this book serves as both an introduction to the Woods Hole trace formula and the sheaves-functions dictionary, and to some advanced applications on characteristic p zeta values. This graduate-level introduction describes a version of the sheaves-functions dictionary of Deligne, relating characteristic-p-valued functions on the rational points of varieties over finite fields to coherent modules equipped with a Frobenius structure. It includes classical examples as well as new results on characteristic p zeta values. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9781316502594
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Sheaves and Functions Modulo P : Lectures on the Woods Hole Trace Formula
Published by
Cambridge University Press, 2015
ISBN 10: 1316502597
ISBN 13: 9781316502594
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Condition: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | The Woods Hole trace formula is a Lefschetz fixed-point theorem for coherent cohomology on algebraic varieties. It leads to a version of the sheaves-functions dictionary of Deligne, relating characteristic-p-valued functions on the rational points of varieties over finite fields to coherent modules equipped with a Frobenius structure. This book begins with a short introduction to the homological theory of crystals of Böckle and Pink with the aim of introducing the sheaves-functions dictionary as quickly as possible, illustrated with elementary examples and classical applications. Subsequently, the theory and results are expanded to include infinite coefficients, L-functions, and applications to special values of Goss L-functions and zeta functions. Based on lectures given at the Morningside Center in Beijing in 2013, this book serves as both an introduction to the Woods Hole trace formula and the sheaves-functions dictionary, and to some advanced applications on characteristic p zeta values. Seller Inventory # 26198328/2