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Automorphic Forms and Even Unimodular Lattices
Af: Gaetan Chenevier, Jean Lannes Engelsk Hardback
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kr 452
Automorphic Forms and Even Unimodular Lattices
Af: Gaetan Chenevier, Jean Lannes Engelsk Hardback

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.

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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.

Produktdetaljer
Sprog: Engelsk
Sider: 417
ISBN-13: 9783319958903
Indbinding: Hardback
Udgave:
ISBN-10: 3319958909
Kategori: Diskret matematik
Udg. Dato: 15 mar 2019
Længde: 32mm
Bredde: 165mm
Højde: 242mm
Oplagsdato: 15 mar 2019
Forfatter(e): Gaetan Chenevier, Jean Lannes
Forfatter(e) Gaetan Chenevier, Jean Lannes


Kategori Diskret matematik


Sprog Engelsk


Indbinding Hardback


Sider 417


Udgave


Længde 32mm


Bredde 165mm


Højde 242mm

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