Automorphic Forms and Even Unimodular Lattices
Subtitle: Kneser Neighbors of Niemeier Lattices
Publisher: Springer
Published: Mar 01, 2019
Language: eng
Format: hardcover
Number of pages: 417
ISBN-13: 9783319958903
Description: "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." -- publisher
Notes: Source title: Automorphic Forms and Even Unimodular Lattices: Kneser Neighbors of Niemeier Lattices (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)