9780691182148 - weil's conjecture for function fields (1): volume i di gaitsgory, dennis; lurie, jacob (21 risultati)
Lingua: Inglese
Editore: Princeton University Press 2019
Serie: Annals of Mathematics Studies, Libro 190 di 202. Libro 190 di 202 - Annals of Mathematics Studies
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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 semis…imple 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
Serie: Annals of Mathematics Studies, Libro 190 di 202. Libro 190 di 202 - Annals of Mathematics Studies
- Brossura
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Serie: Annals of Mathematics Studies, Libro 190 di 202. Libro 190 di 202 - Annals of Mathematics Studies
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Condizione: New. 2019. Paperback. . . . . .
Lingua: Inglese
Editore: Princeton University Press 2019
Serie: Annals of Mathematics Studies, Libro 190 di 202. Libro 190 di 202 - Annals of Mathematics Studies
- Brossura
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Serie: Annals of Mathematics Studies, Libro 190 di 202. Libro 190 di 202 - Annals of Mathematics Studies
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Lingua: Inglese
Editore: Princeton University Press, US 2019
Serie: Annals of Mathematics Studies, Libro 190 di 202. Libro 190 di 202 - Annals of Mathematics Studies
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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 semis…imple 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, New Jersey 2019
Serie: Annals of Mathematics Studies, Libro 190 di 202. Libro 190 di 202 - Annals of Mathematics Studies
- Brossura
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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
Serie: Annals of Mathematics Studies, Libro 190 di 202. Libro 190 di 202 - Annals of Mathematics Studies
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Condizione: New. pp. 320.
Lingua: Inglese
Editore: Princeton University Press 2019
Serie: Annals of Mathematics Studies, Libro 190 di 202. Libro 190 di 202 - Annals of Mathematics Studies
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Lingua: Inglese
Editore: Princeton University Press 2019
Serie: Annals of Mathematics Studies, Libro 190 di 202. Libro 190 di 202 - Annals of Mathematics Studies
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Serie: Annals of Mathematics Studies, Libro 190 di 202. Libro 190 di 202 - Annals of Mathematics Studies
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Serie: Annals of Mathematics Studies, Libro 190 di 202. Libro 190 di 202 - Annals of Mathematics Studies
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Condizione: New. pp. 320.
Lingua: Inglese
Editore: Princeton Univ Pr 2019
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Lingua: Inglese
Editore: Princeton University Press, New Jersey 2019
Serie: Annals of Mathematics Studies, Libro 190 di 202. Libro 190 di 202 - Annals of Mathematics Studies
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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 our UK warehouse or from our Australian or US warehouses, depending on stock availability.
Lingua: Inglese
Editore: Princeton University Press, US 2019
Serie: Annals of Mathematics Studies, Libro 190 di 202. Libro 190 di 202 - Annals of Mathematics Studies
- Brossura
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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 semis…imple 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 Univ Pr 2019
Serie: Annals of Mathematics Studies, Libro 190 di 202. Libro 190 di 202 - Annals of Mathematics Studies
- Brossura
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Paperback. Condizione: Brand New. 328 pages. 9.25x6.25x0.75 inches. In Stock.
Lingua: Inglese
Editore: Princeton University Press, US 2019
Serie: Annals of Mathematics Studies, Libro 190 di 202. Libro 190 di 202 - Annals of Mathematics Studies
- Brossura
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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 semis…imple 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.
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Serie: Annals of Mathematics Studies, Libro 190 di 202. Libro 190 di 202 - Annals of Mathematics Studies
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Condizione: New. Über den AutorDennis Gaitsgory is professor of mathematics at Harvard University. He is the coauthor of A Study in Derived Algebraic Geometry. Jacob Lurie is professor of mathematics at Harvard University. He is.
Lingua: Inglese
Editore: Princeton University Press, New Jersey 2019
Serie: Annals of Mathematics Studies, Libro 190 di 202. Libro 190 di 202 - Annals of Mathematics Studies
- Brossura
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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 our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
Lingua: Inglese
Editore: Princeton University Press Feb 2019 2019
Serie: Annals of Mathematics Studies, Libro 190 di 202. Libro 190 di 202 - Annals of Mathematics Studies
- Brossura
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Taschenbuch. Condizione: Neu. Neuware - 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 numbe…r 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.
