Topological Automorphic Forms. (Record no. 69674)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 04580nam a22005053i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114143 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124601.0 |
| 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|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2010 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470405724 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821845394 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114143 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114143 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11039762 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922981727 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA353.A9 -- .B44 2009eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.9 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Behrens, Mark. |
| 245 10 - TITLE STATEMENT | |
| Title | Topological Automorphic Forms. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2010. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2009. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (167 pages) |
| 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 | Memoirs of the American Mathematical Society ; |
| Volume/sequential designation | v.204 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Abstract -- Introduction -- 0.1. Background and motivation -- 0.2. Subject matter of this book -- 0.3. Organization of this book -- 0.4. Acknowledgments -- Chapter 1. p-divisible groups -- 1.1. Definitions -- 1.2. Classification -- Chapter 2. The Honda-Tate classification -- 2.1. Abelian varieties over finite fields -- 2.2. Abelian varieties over Fp -- Chapter 3. Tate modules and level structures -- 3.1. Tate modules of abelian varieties -- 3.2. Virtual subgroups and quasi-isogenies -- 3.3. Level structures -- 3.4. The Tate representation -- 3.5. Homomorphisms of abelian schemes -- Chapter 4. Polarizations -- 4.1. Polarizations -- 4.2. The Rosati involution -- 4.3. The Weil pairing -- 4.4. Polarizations of B-linear abelian varieties -- 4.5. Induced polarizations -- 4.6. Classification of weak polarizations -- Chapter 5. Forms and involutions -- 5.1. Hermitian forms -- 5.2. Unitary and similitude groups -- 5.3. Classification of forms -- Chapter 6. Shimura varieties of type U(1,n-1) -- 6.1. Motivation -- 6.2. Initial data -- 6.3. Statement of the moduli problem -- 6.4. Equivalence of the moduli problems -- 6.5. Moduli problems with level structure -- 6.6. Shimura stacks -- Chapter 7. Deformation theory -- 7.1. Deformations of p-divisible groups -- 7.2. Serre-Tate theory -- 7.3. Deformation theory of points of Sh -- Chapter 8. Topological automorphic forms -- 8.1. The generalized Hopkins-Miller theorem -- 8.2. The descent spectral sequence -- 8.3. Application to Shimura stacks -- Chapter 9. Relationship to automorphic forms -- 9.1. Alternate description of Sh(Kp) -- 9.2. Description of Sh(Kp)F -- 9.3. Description of Sh(Kp)C -- 9.4. Automorphic forms -- Chapter 10. Smooth G-spectra -- 10.1. Smooth G-sets -- 10.2. The category of simplicial smooth G-sets -- 10.3. The category of smooth G-spectra. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 10.4. Smooth homotopy fixed points -- 10.5. Restriction, induction, and coinduction -- 10.6. Descent from compact open subgroups -- 10.7. Transfer maps and the Burnside category -- Chapter 11. Operations on TAF -- 11.1. The E-action of GU(Ap,) -- 11.2. Hecke operators -- Chapter 12. Buildings -- 12.1. Terminology -- 12.2. The buildings for GL and SL -- 12.3. The buildings for U and GU -- Chapter 13. Hypercohomology of adele groups -- 13.1. Definition of QGU and QU -- 13.2. The semi-cosimplicial resolution -- Chapter 14. K(n)-local theory -- 14.1. Endomorphisms of mod p points -- 14.2. Approximation results -- 14.3. The height n locus of Sh(Kp) -- 14.4. K(n)-local TAF -- 14.5. K(n)-local QU -- Chapter 15. Example: chromatic level 1 -- 15.1. Unit groups and the K(1)-local sphere -- 15.2. Topological automorphic forms in chromatic filtration 1 -- Bibliography -- Index. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Automorphic forms. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Algebraic topology. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Homotopy groups. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Shimura varieties. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Lawson, Tyler. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Behrens, Mark |
| Title | Topological Automorphic Forms |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2010 |
| International Standard Book Number | 9780821845394 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114143">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114143</a> |
| Public note | Click to View |
No items available.