Lingua: Inglese
Editore: Princeton University Press, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Lingua: Inglese
Editore: Princeton University Press, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Lingua: Inglese
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ISBN 10: 0691182140 ISBN 13: 9780691182148
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Lingua: Inglese
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ISBN 10: 0691182140 ISBN 13: 9780691182148
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Lingua: Inglese
Editore: Princeton University Press, US, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Aggiungi al carrelloPaperback. Condizione: New. A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of various completions of K. This book looks at a specific example of a local-to-global principle: Weil's conjecture on the Tamagawa number of a semisimple algebraic group G over K. In the case where K is the function field of an algebraic curve X, this conjecture counts the number of G-bundles on X (global information) in terms of the reduction of G at the points of X (local information). The goal of this book is to give a conceptual proof of Weil's conjecture, based on the geometry of the moduli stack of G-bundles. Inspired by ideas from algebraic topology, it introduces a theory of factorization homology in the setting ?-adic sheaves. Using this theory, Dennis Gaitsgory and Jacob Lurie articulate a different local-to-global principle: a product formula that expresses the cohomology of the moduli stack of G-bundles (a global object) as a tensor product of local factors.Using a version of the Grothendieck-Lefschetz trace formula, Gaitsgory and Lurie show that this product formula implies Weil's conjecture. The proof of the product formula will appear in a sequel volume.
Lingua: Inglese
Editore: Princeton University Press, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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ISBN 10: 0691182140 ISBN 13: 9780691182148
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Lingua: Inglese
Editore: Princeton University Press, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Lingua: Inglese
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ISBN 10: 0691182140 ISBN 13: 9780691182148
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ISBN 10: 0691182140 ISBN 13: 9780691182148
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Paperback. Condizione: New. A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of various completions of K. This book looks at a specific example of a local-to-global principle: Weil's conjecture on the Tamagawa number of a semisimple algebraic group G over K. In the case where K is the function field of an algebraic curve X, this conjecture counts the number of G-bundles on X (global information) in terms of the reduction of G at the points of X (local information). The goal of this book is to give a conceptual proof of Weil's conjecture, based on the geometry of the moduli stack of G-bundles. Inspired by ideas from algebraic topology, it introduces a theory of factorization homology in the setting ?-adic sheaves. Using this theory, Dennis Gaitsgory and Jacob Lurie articulate a different local-to-global principle: a product formula that expresses the cohomology of the moduli stack of G-bundles (a global object) as a tensor product of local factors.Using a version of the Grothendieck-Lefschetz trace formula, Gaitsgory and Lurie show that this product formula implies Weil's conjecture. The proof of the product formula will appear in a sequel volume.
Lingua: Inglese
Editore: Princeton University Press, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Lingua: Inglese
Editore: Princeton University Press, New Jersey, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Paperback. Condizione: new. Paperback. A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of various completions of K. This book looks at a specific example of a local-to-global principle: Weil's conjecture on the Tamagawa number of a semisimple algebraic group G over K. In the case where K is the function field of an algebraic curve X, this conjecture counts the number of G-bundles on X (global information) in terms of the reduction of G at the points of X (local information). The goal of this book is to give a conceptual proof of Weil's conjecture, based on the geometry of the moduli stack of G-bundles. Inspired by ideas from algebraic topology, it introduces a theory of factorization homology in the setting -adic sheaves. Using this theory, Dennis Gaitsgory and Jacob Lurie articulate a different local-to-global principle: a product formula that expresses the cohomology of the moduli stack of G-bundles (a global object) as a tensor product of local factors.Using a version of the Grothendieck-Lefschetz trace formula, Gaitsgory and Lurie show that this product formula implies Weil's conjecture. The proof of the product formula will appear in a sequel volume. A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of various completions of K. This book looks at a specific example of a local-to-global principle: Weil's conjecture on the Tamagawa number of a semisimple algebraic group G over K. In the case wher Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Lingua: Inglese
Editore: Princeton University Press, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Aggiungi al carrelloCondizione: New. pp. 320.
Lingua: Inglese
Editore: Princeton University Press, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Lingua: Inglese
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ISBN 10: 0691182140 ISBN 13: 9780691182148
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Editore: Princeton University Press, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Aggiungi al carrelloPaperback. Condizione: Brand New. 328 pages. 9.25x6.25x0.75 inches. In Stock.
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Aggiungi al carrelloPaperback. Condizione: Brand New. 436 pages. 9.50x6.75x1.00 inches. In Stock.
Lingua: Inglese
Editore: Princeton University Press (edition ), 2019
ISBN 10: 0691182132 ISBN 13: 9780691182131
Da: BooksRun, Philadelphia, PA, U.S.A.
Hardcover. Condizione: Good. It's a preowned item in good condition and includes all the pages. It may have some general signs of wear and tear, such as markings, highlighting, slight damage to the cover, minimal wear to the binding, etc., but they will not affect the overall reading experience.
Lingua: Inglese
Editore: American Mathematical Society, 2020
ISBN 10: 1470452855 ISBN 13: 9781470452858
Da: GreatBookPrices, Columbia, MD, U.S.A.
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Lingua: Inglese
Editore: American Mathematical Society, Providence, 2020
ISBN 10: 1470452855 ISBN 13: 9781470452858
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Paperback. Condizione: new. Paperback. Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in other parts of mathematics, most prominently in representation theory. This volume develops deformation theory, Lie theory and the theory of algebroids in the context of derived algebraic geometry. To that end, it introduces the notion of inf-scheme, which is an infinitesimal deformation of a scheme and studies ind-coherent sheaves on such. As an application of the general theory, the six-functor formalism for D-modules in derived geometry is obtained.This volume consists of two parts. The first part introduces the notion of ind-scheme and extends the theory of ind-coherent sheaves to inf-schemes, obtaining the theory of D-modules as an application. The second part establishes the equivalence between formal Lie group(oids) and Lie algebr(oids) in the category of ind-coherent sheaves. This equivalence gives a vast generalization of the equivalence between Lie algebras and formal moduli problems. This theory is applied to study natural filtrations in formal derived geometry generalizing the Hodge filtration. Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in other parts of mathematics, most prominently in representation theory. This volume develops deformation theory, Lie theory and the theory of algebroids in the context of derived algebraic geometry. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Lingua: Inglese
Editore: American Mathematical Society, 2019
ISBN 10: 1470452847 ISBN 13: 9781470452841
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Lingua: Inglese
Editore: American Mathematical Society, 2020
ISBN 10: 1470452855 ISBN 13: 9781470452858
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ISBN 10: 1470452855 ISBN 13: 9781470452858
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Editore: Princeton University Press, US, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Paperback. Condizione: New. A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of various completions of K. This book looks at a specific example of a local-to-global principle: Weil's conjecture on the Tamagawa number of a semisimple algebraic group G over K. In the case where K is the function field of an algebraic curve X, this conjecture counts the number of G-bundles on X (global information) in terms of the reduction of G at the points of X (local information). The goal of this book is to give a conceptual proof of Weil's conjecture, based on the geometry of the moduli stack of G-bundles. Inspired by ideas from algebraic topology, it introduces a theory of factorization homology in the setting ?-adic sheaves. Using this theory, Dennis Gaitsgory and Jacob Lurie articulate a different local-to-global principle: a product formula that expresses the cohomology of the moduli stack of G-bundles (a global object) as a tensor product of local factors.Using a version of the Grothendieck-Lefschetz trace formula, Gaitsgory and Lurie show that this product formula implies Weil's conjecture. The proof of the product formula will appear in a sequel volume.
Lingua: Inglese
Editore: MP-AMM American Mathematical, 2017
ISBN 10: 1470452847 ISBN 13: 9781470452841
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Aggiungi al carrelloPaperback. Condizione: New. Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in other parts of mathematics, most prominently in representation theory. This volume develops deformation theory, Lie theory and the theory of algebroids in the context of derived algebraic geometry. To that end, it introduces the notion of inf-scheme, which is an infinitesimal deformation of a scheme and studies ind-coherent sheaves on such. As an application of the general theory, the six-functor formalism for D-modules in derived geometry is obtained.This volume consists of two parts. The first part introduces the notion of ind-scheme and extends the theory of ind-coherent sheaves to inf-schemes, obtaining the theory of D-modules as an application. The second part establishes the equivalence between formal Lie group(oids) and Lie algebr(oids) in the category of ind-coherent sheaves. This equivalence gives a vast generalization of the equivalence between Lie algebras and formal moduli problems. This theory is applied to study natural filtrations in formal derived geometry generalizing the Hodge filtration.
Lingua: Inglese
Editore: Princeton University Press, 2019
ISBN 10: 0691182132 ISBN 13: 9780691182131
Da: PBShop.store UK, Fairford, GLOS, Regno Unito
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Aggiungi al carrelloHRD. Condizione: New. New Book. Shipped from UK. Established seller since 2000.
Lingua: Inglese
Editore: American Mathematical Society, 2020
ISBN 10: 1470452855 ISBN 13: 9781470452858
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Aggiungi al carrelloPaperback. Condizione: Brand New. 328 pages. 9.25x6.25x0.75 inches. In Stock.