Automorphic forms and even unimodular lattices : Kneser neighbors of Niemeier lattices

Automorphic forms and even unimodular lattices : Kneser neighbors of Niemeier lattices / Gaëtan Chenevier, Jean Lannes ; translated by Reinie Erné.

"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...

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Bibliographic Details
Main Authors: Chenevier, Gaëtan (Author), Lannes, Jean (Author)
Other Authors: Erné, Reinie (Translator)
Format: Book
Language:English
French
Published: Cham, Switzerland : Springer Nature Switzerland AG, [2019]
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 69.
Subjects:
Automorphic forms.
Modular lattices.
Lattice theory.
Forms, Quadratic.
Table of Contents:
  • Bilinear and quadratic algebra
  • Kneser neighbors
  • Automorphic forms and Hecke operators
  • Theta series and even unimodular lattices
  • Langlands parametrization
  • A few cases of the Arthur-Langlands conjecture
  • Arthur's classification for the classical Z -groups
  • Proofs of the main theorems
  • Applications
  • A. The Barnes-Wall lattice and the Siegel theta series of even unimodular lattices of dimension 16
  • B. Quadratic forms and neighbors in odd dimension
  • C. Tables
  • Postface.

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