Screen LibraryWeil's conjecture for function fields. Volume I /
"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{u2019}s conjecture on the Tamagawa num...
Saved in:
| Main Authors: | |
|---|---|
| Group Author: | |
| Published: |
Princeton University Press,
|
| Publisher Address: | Princeton, New Jersey : |
| Publication Dates: | 2019. |
| Literature type: | Book |
| Language: | English |
| Series: |
Annals of mathematics studies ;
number 199 |
| Subjects: | |
| 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{u2019}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 |
| Carrier Form: | viii, 311 pages ; 25 cm. |
| Bibliography: | Includes bibliographical references (pages [309]-311). |
| ISBN: |
9780691182131 (hardback) : 0691182132 (hardback) 9780691182148 (paperback) 0691182140 (paperback) |
| Index Number: | QA564 |
| CLC: | O187.1 |
| Call Number: | O187.1/G144/v.1 |
| Contents: | The formalism of l-adic sheaves -- E∞-structures on l-adic cohomology -- Computing the trace of Frobenius -- The trace formula for BunG(X). |