Weil's Conjecture for Function Fields, 9780691182148
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 sem…

Weil's Conjecture for Function Fields

Volume I

$243.63

  • Paperback

    320 pages

  • Release Date

    28 April 2019

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Summary

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 redu…

Book Details

ISBN-13:9780691182148
ISBN-10:0691182140
Author:Dennis Gaitsgory, Jacob Lurie
Publisher:Princeton University Press
Imprint:Princeton University Press
Format:Paperback
Number of Pages:320
Release Date:28 April 2019
Weight:534g
Dimensions:235mm x 155mm
Series:Annals of Mathematics Studies
What They're Saying

Critics Review

“The book is written in a clear and vivid style, pays attention to foundations and details, and yet elucidates motivations and ideas. It should be highly useful for researchers working with stacks and higher category theory.”—Stefan Schröer, Zentralblatt MATH

About The Author

Dennis Gaitsgory

Dennis 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 the author of Higher Topos Theory (Princeton).

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