Language: English
Published by Springer, New York, NY, 2000
ISBN 10: 0817640029 ISBN 13: 9780817640026
Cloth. Condition: Very Good. 459 pp. Tightly bound. Corners not bumped. Text is Free of Markings.
Language: English
Published by Springer, New York, NY, 2000
ISBN 10: 0817640029 ISBN 13: 9780817640026
Cloth. Condition: Very Good. 459 pp. Tightly bound. Corners not bumped. Text is Free of Markings.
XIII, 462 p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Gestempelt. Sprache: Englisch.
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2000. 478 p. Unread book. Like new! 9780817640026 Sprache: Englisch Gewicht in Gramm: 771 Hardcover: 15.6 x 2.7 x 23.4 cm.
Language: English
Published by Princeton University Press, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Language: English
Published by Princeton University Press, US, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Paperback. Condition: 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.
Language: English
Published by Birkhauser Boston Inc, US, 2003
ISBN 10: 0817632115 ISBN 13: 9780817632113
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Add to basketPaperback. Condition: New. 2004 ed. For the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics. The twelve chapters of this monograph present a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. Covered are a variety of areas in number theory from the classical zeta function up to the Langlands program. The exposition is sytematic, with each chapter focusing on a particular topic devoted to special cases of the program, and accessible to graduate students and researchers in the field.
Language: English
Published by Princeton University Press, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Language: English
Published by Princeton University Press, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Language: English
Published by Princeton University Press, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Language: English
Published by Princeton University Press, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Language: English
Published by Princeton University Press, US, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Paperback. Condition: 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.
Language: English
Published by Princeton University Press (edition ), 2019
ISBN 10: 0691182132 ISBN 13: 9780691182131
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Hardcover. Condition: Very Good. It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting.
Language: English
Published by Princeton University Press, New Jersey, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Paperback. Condition: 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.
Language: English
Published by American Mathematical Society, 2020
ISBN 10: 1470452855 ISBN 13: 9781470452858
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Language: English
Published by Princeton University Press, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Published by Princeton University Press, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Published by Princeton University Press, 2019
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ISBN 10: 0691182140 ISBN 13: 9780691182148
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Published by Princeton University Press, 2019
ISBN 10: 0691182140 ISBN 13: 9780691182148
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Language: English
Published by American Mathematical Society, 2020
ISBN 10: 1470452855 ISBN 13: 9781470452858
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Language: English
Published by American Mathematical Society, 2019
ISBN 10: 1470452847 ISBN 13: 9781470452841
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