skip to content
Arithmetic of p-adic modular forms Preview this item
ClosePreview this item
Checking...

Arithmetic of p-adic modular forms

Author: Fernando Q Gouvêa
Publisher: Berlin ; New York : Springer-Verlag, ©1988.
Series: Lecture notes in mathematics (Springer-Verlag), 1304.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur. The classical theory of modular forms is assumed known to the reader, but the p-adic theory is reviewed in detail, with ample intuitive and heuristic discussion, so that the book will serve as  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Gouvêa, Fernando Q. (Fernando Quadros).
Arithmetic of p-adic modular forms.
Berlin ; New York : Springer-Verlag, ©1988
(DLC) 88163816
(OCoLC)17996460
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Fernando Q Gouvêa
ISBN: 9783540388548 3540388540
OCLC Number: 277135695
Description: 1 online resource (viii, 121 pages) : illustrations.
Contents: p-adic Modular Forms: Level Structures and Trivializations. p-adic Modular Forms with Growth Conditions. Generalized p-adic Modular Functions --
Hecke and U Operators: Hecke Operators. The Frobenius Operator. The U Operator. Appendix: Hida's Theory of the Ordinary Part --
Galois Representations: Duality Theorems. Families of Modular Forms. Changing the Level. Deformations of Residual Eigenforms. Deformations of Galois Representations. The Modular Deformation Space. Further Questions.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1304.
Responsibility: Fernando Q. Gouvêa.

Abstract:

The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of deformations of Galois representations  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Related Subjects:(2)

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/277135695> # Arithmetic of p-adic modular forms
    a schema:CreativeWork, schema:Book, schema:MediaObject ;
   library:oclcnum "277135695" ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/17106164#Place/berlin> ; # Berlin
   schema:about <http://dewey.info/class/510/e20/> ;
   schema:about <http://id.worldcat.org/fast/932983> ; # Forms, Modular
   schema:about <http://id.worldcat.org/fast/1185026> ; # p-adic analysis
   schema:bookFormat schema:EBook ;
   schema:copyrightYear "1988" ;
   schema:creator <http://viaf.org/viaf/7478497> ; # Fernando Quadros Gouvêa
   schema:datePublished "1988" ;
   schema:description "The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur. The classical theory of modular forms is assumed known to the reader, but the p-adic theory is reviewed in detail, with ample intuitive and heuristic discussion, so that the book will serve as a convenient point of entry to research in that area. The results on the U operator and on Galois representations are new, and will be of interest even to the experts. A list of further problems in the field is included to guide the beginner in his research. The book will thus be of interest to number theorists who wish to learn about p-adic modular forms, leading them rapidly to interesting research, and also to the specialists in the subject."@en ;
   schema:description "p-adic Modular Forms: Level Structures and Trivializations. p-adic Modular Forms with Growth Conditions. Generalized p-adic Modular Functions -- Hecke and U Operators: Hecke Operators. The Frobenius Operator. The U Operator. Appendix: Hida's Theory of the Ordinary Part -- Galois Representations: Duality Theorems. Families of Modular Forms. Changing the Level. Deformations of Residual Eigenforms. Deformations of Galois Representations. The Modular Deformation Space. Further Questions."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/17106164> ;
   schema:genre "Electronic books"@en ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://worldcat.org/issn/0075-8434> ; # Lecture notes in mathematics,
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/17106164#Series/lecture_notes_in_mathematics_springer_verlag> ; # Lecture notes in mathematics (Springer-Verlag) ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/17996460> ;
   schema:name "Arithmetic of p-adic modular forms"@en ;
   schema:productID "277135695" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/277135695#PublicationEvent/berlin_new_york_springer_verlag_1988> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/17106164#Agent/springer_verlag> ; # Springer-Verlag
   schema:url <http://rd.springer.com/openurl?genre=book&isbn=978-3-540-18946-6> ;
   schema:url <http://dx.doi.org/10.1007/BFb0082111> ;
   schema:url <http://books.scholarsportal.info/viewdoc.html?id=/ebooks/ebooks2/springer/2011-04-14/2/3540189467> ;
   schema:url <https://link.springer.com/10.1007/BFb0082111> ;
   schema:url <http://link.springer.com/openurl?genre=book&isbn=978-3-540-18946-6> ;
   schema:url <https://login.proxy.lib.strath.ac.uk/login?url=http://link.springer.com/10.1007/BFb0082111> ;
   schema:url <https://0-link-springer-com.pugwash.lib.warwick.ac.uk/10.1007/BFb0082111> ;
   schema:url <http://www.springerlink.com/openurl.asp?genre=issue&issn=0075-8434&volume=1304> ;
   schema:workExample <http://worldcat.org/isbn/9783540388548> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/277135695> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/17106164#Agent/springer_verlag> # Springer-Verlag
    a bgn:Agent ;
   schema:name "Springer-Verlag" ;
    .

<http://experiment.worldcat.org/entity/work/data/17106164#Series/lecture_notes_in_mathematics_springer_verlag> # Lecture notes in mathematics (Springer-Verlag) ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/277135695> ; # Arithmetic of p-adic modular forms
   schema:name "Lecture notes in mathematics (Springer-Verlag) ;" ;
    .

<http://id.worldcat.org/fast/1185026> # p-adic analysis
    a schema:Intangible ;
   schema:name "p-adic analysis"@en ;
    .

<http://id.worldcat.org/fast/932983> # Forms, Modular
    a schema:Intangible ;
   schema:name "Forms, Modular"@en ;
    .

<http://viaf.org/viaf/7478497> # Fernando Quadros Gouvêa
    a schema:Person ;
   schema:familyName "Gouvêa" ;
   schema:givenName "Fernando Quadros" ;
   schema:givenName "Fernando Q." ;
   schema:name "Fernando Quadros Gouvêa" ;
    .

<http://worldcat.org/isbn/9783540388548>
    a schema:ProductModel ;
   schema:isbn "3540388540" ;
   schema:isbn "9783540388548" ;
    .

<http://worldcat.org/issn/0075-8434> # Lecture notes in mathematics,
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/277135695> ; # Arithmetic of p-adic modular forms
   schema:issn "0075-8434" ;
   schema:name "Lecture notes in mathematics," ;
    .

<http://www.worldcat.org/oclc/17996460>
    a schema:CreativeWork ;
   rdfs:label "Arithmetic of p-adic modular forms." ;
   schema:description "Print version:" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/277135695> ; # Arithmetic of p-adic modular forms
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.