Automorphic Forms and Even Unimodular Lattices is popular PDF and ePub book, written by Gaëtan Chenevier in 2019-02-28, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Automorphic Forms and Even Unimodular Lattices can be Read Online from any device for your convenience.
Automorphic Forms and Even Unimodular Lattices Book PDF 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.
Detail Book of Automorphic Forms and Even Unimodular Lattices PDF
- Author : Gaëtan Chenevier
- Release : 28 February 2019
- Publisher : Springer
- ISBN : 9783319958910
- Genre : Mathematics
- Total Page : 417 pages
- Language : English
- PDF File Size : 16,9 Mb
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