TY - BOOK
A2 - Lannes, Jean
A2 - Erné, Reinie
AU - Chenevier, Gaëtan
TI - Automorphic forms and even unimodular lattices : Kneser neighbors of Niemeier lattices
PB - Cham, Switzerland: Springer
PY - 2019
SP - xxi, 417 pages
T3 - Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 69.
T3 - Ergebnisse der Mathematik und ihrer Grenzgebiete = A series of modern surveys in mathematics ; 3. Folge, volume 69
AB - "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."--Provided by publisher.
LA - English
KW - Automorphic forms
KW - Modular lattices
KW - Lattice theory
KW - Forms, Quadratic
SN - 9783319958903
CN - QA243 .C53 2019
ER -