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

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Bibliographic Details
Author / Creator:	Chenevier, Gaëtan, author.
Imprint:	Cham : Srpinger, [2019] ©2019
Description:	1 online resource.
Language:	English
Series:	Ergebnisse der Mathematik und ihrer Grenzgebiete / A series of modern surveys in mathematics ; 3. Folge, volume 69 Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge ; Bd. 69.
Subject:	Automorphic forms. Modular lattices. Automorphic forms. Modular lattices.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11797010

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Other authors / contributors:	Lannes, Jean, author.
ISBN:	9783319958910 3319958917 3319958909 9783319958903
Notes:	Includes bibliographical references and index. Print version record.
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.
Other form:	Print version: 3319958909 9783319958903

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