Automorphic Forms and Even Unimodular Lattices Kneser Neighbors of Niemeier Lattices /

• Main Authors: Chenevier, Gaëtan (Author, http://id.loc.gov/vocabulary/relators/aut), Lannes, Jean (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 69
• Subjects: Number theory.; Algebra.; Discrete mathematics.; Number Theory.; Discrete Mathematics.

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...

Table of 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.