Weil's conjecture for function fields. (Record no. 81428)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 03663cam a2200613 i 4500 |
| 001 - CONTROL NUMBER | |
| control field | on1079759075 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220908100151.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 181220s2019 nju ob 000 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | N$T |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | N$T |
| Modifying agency | N$T |
| -- | EBLCP |
| -- | OCLCF |
| -- | JSTOR |
| -- | YDX |
| -- | DEGRU |
| -- | OH1 |
| -- | OCLCQ |
| -- | LGG |
| -- | OCLCQ |
| -- | IEEEE |
| -- | OCLCO |
| -- | OCLCQ |
| -- | OCLCO |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780691184432 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0691184437 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780691182131 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000065044105 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1079759075 |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 22573/ctv4t8349 |
| Source of stock number/acquisition | JSTOR |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 9452475 |
| Source of stock number/acquisition | IEEE |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA564 |
| Item number | .G347 2019 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 012000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 012010 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 022000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.3/52 |
| Edition number | 23 |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Gaitsgory, D. |
| Fuller form of name | (Dennis), |
| Relator term | author. |
| 9 (RLIN) | 65253 |
| 245 10 - TITLE STATEMENT | |
| Title | Weil's conjecture for function fields. |
| Number of part/section of a work | Volume I / |
| Statement of responsibility, etc. | Dennis Gaitsgory, Jacob Lurie. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Princeton : |
| Name of producer, publisher, distributor, manufacturer | Princeton University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Annals of mathematics studies ; |
| Volume/sequential designation | number 199 |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Online resource; title from PDF title page (EBSCO, viewed December 21, 2018). |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | The formalism of l-adic sheaves -- E∞-structures on l-adic cohomology -- Computing the trace of Frobenius -- The trace formula for BunG(X). |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | 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. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | IEEE |
| Provenance (VM) [OBSOLETE] | IEEE Xplore Princeton University Press eBooks Library |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Weil conjectures. |
| 9 (RLIN) | 65254 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Conjectures de Weil. |
| 9 (RLIN) | 65255 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Geometry |
| -- | General. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 7661 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Geometry |
| -- | Algebraic. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 65256 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Weil conjectures. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst01173523 |
| 9 (RLIN) | 65254 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 9 (RLIN) | 3294 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Lurie, Jacob, |
| Dates associated with a name | 1977- |
| Relator term | author. |
| 9 (RLIN) | 65257 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Annals of mathematics studies ; |
| Volume/sequential designation | no. 199. |
| 9 (RLIN) | 65258 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ieeexplore.ieee.org/servlet/opac?bknumber=9452475">https://ieeexplore.ieee.org/servlet/opac?bknumber=9452475</a> |
| 938 ## - | |
| -- | De Gruyter |
| -- | DEGR |
| -- | 9780691184432 |
| 938 ## - | |
| -- | ProQuest Ebook Central |
| -- | EBLB |
| -- | EBL5620620 |
| 938 ## - | |
| -- | EBSCOhost |
| -- | EBSC |
| -- | 1876800 |
| 938 ## - | |
| -- | YBP Library Services |
| -- | YANK |
| -- | 15878110 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 994 ## - | |
| -- | 92 |
| -- | INTKS |
No items available.