Automorphic forms and even unimodular lattices : Kneser neighbors of niemeier lattices
- Author
- Gaëtan Chenevier, Jean Lannes
- Publication Year
- 2019
- Publisher
- Springer
- Language
- English
- Document Type
- Book
- Faculty / Subject Heading
- Computer Science
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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.
Keywords: 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
