Coverart for item
The Resource Automorphic Forms and Even Unimodular Lattices : Kneser Neighbors of Niemeier Lattices, by Gaëtan Chenevier, Jean Lannes, (electronic resource)

Automorphic Forms and Even Unimodular Lattices : Kneser Neighbors of Niemeier Lattices, by Gaëtan Chenevier, Jean Lannes, (electronic resource)

Label
Automorphic Forms and Even Unimodular Lattices : Kneser Neighbors of Niemeier Lattices
Title
Automorphic Forms and Even Unimodular Lattices
Title remainder
Kneser Neighbors of Niemeier Lattices
Statement of responsibility
by Gaëtan Chenevier, Jean Lannes
Creator
Contributor
Author
Subject
Language
eng
Summary
This book includes a self-contained approach of the general theory of quadratic forms and integral Euclidean lattices, as well as a presentation of the theory of automorphic forms and Langlands' conjectures, ranging from the first definitions to the recent and deep classification results due to James Arthur. Its connecting thread is a question about lattices of rank 24: the problem of p-neighborhoods between Niemeier lattices. This question, whose expression is quite elementary, is in fact very natural from the automorphic point of view, and turns out to be surprisingly intriguing. We explain how the new advances in the Langlands program mentioned above pave the way for a solution. This study proves to be very rich, leading us to classical themes such as theta series, Siegel modular forms, the triality principle, L-functions and congruences between Galois representations. This monograph is intended for any mathematician with an interest in Euclidean lattices, automorphic forms or number theory. A large part of it is meant to be accessible to non-specialists.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Chenevier, Gaëtan
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Lannes, Jean
Series statement
  • Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics,
  • Springer eBooks
  • Springer eBooks.
Series volume
69
http://library.link/vocab/subjectName
  • Number theory
  • Algebra
Label
Automorphic Forms and Even Unimodular Lattices : Kneser Neighbors of Niemeier Lattices, by Gaëtan Chenevier, Jean Lannes, (electronic resource)
Link
https://link-springer-com.eui.idm.oclc.org/book/10.1007/978-3-319-95891-0
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface.-1 Introduction -- 2 Bilinear and Quadratic Algebra -- 3 Kneser Neighbors -- 4 Automorphic Forms and Hecke Operators -- 5 Theta Series and Even Unimodular Lattices -- 6 Langlands Parametrization -- 7 A Few Cases of the Arthur–Langlands Conjecture -- 8 Arthur’s Classification for the Classical Z-groups -- 9 Proofs of the Main Theorems -- 10 Applications -- A The Barnes–Wall Lattice and the Siegel Theta Series -- B Quadratic Forms and Neighbors in Odd Dimension -- C Tables -- References.-.Postface- Notation Index.-Terminology Index
Control code
978-3-319-95891-0
Dimensions
unknown
Extent
1 online resource (XXI, 417 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319958910
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
24 illustrations, 1 illustration in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1096462987
Label
Automorphic Forms and Even Unimodular Lattices : Kneser Neighbors of Niemeier Lattices, by Gaëtan Chenevier, Jean Lannes, (electronic resource)
Link
https://link-springer-com.eui.idm.oclc.org/book/10.1007/978-3-319-95891-0
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface.-1 Introduction -- 2 Bilinear and Quadratic Algebra -- 3 Kneser Neighbors -- 4 Automorphic Forms and Hecke Operators -- 5 Theta Series and Even Unimodular Lattices -- 6 Langlands Parametrization -- 7 A Few Cases of the Arthur–Langlands Conjecture -- 8 Arthur’s Classification for the Classical Z-groups -- 9 Proofs of the Main Theorems -- 10 Applications -- A The Barnes–Wall Lattice and the Siegel Theta Series -- B Quadratic Forms and Neighbors in Odd Dimension -- C Tables -- References.-.Postface- Notation Index.-Terminology Index
Control code
978-3-319-95891-0
Dimensions
unknown
Extent
1 online resource (XXI, 417 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319958910
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
24 illustrations, 1 illustration in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1096462987

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