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

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

المؤلف
Gaëtan Chenevier, Jean Lannes
سنة النشر
2019
الناشر
Springer
لغة الملف
انكليزي
نوع الملف
Book
تصنيف الكتاب
Computer Science

This book includes a self-contained approach of the general theory of quadratic forms and integral Euclidean lattices.It explains 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.


الكلمات المفتاحية: Mathematics and Statistics / Number Theory / Algebra / Discrete Mathematics / Automorphic forms / Unimodular lattices / Kneser neighbors / Niemeier lattices / Arthur conjectures / Classical groups / Galois representations / Langlands conjectures / L-functions / Quadratic forms / Siegel modular forms / Theta series