Automorphic Forms and Even Unimodular Lattices

Automorphic Forms and Even Unimodular Lattices

Kneser Neighbors of Niemeier Lattices

Erne, Reinie; Chenevier, Gaetan; Lannes, Jean

Springer International Publishing AG

03/2019

417

Dura

Inglês

9783319958903

15 a 20 dias

822

Descrição não disponível.
Preface.-1 Introduction.- 2 Bilinear and Quadratic Algebra.- 3 Kneser Neighbors.- 4 Automorphic Forms and Hecke Operators.- 5 Theta Series and Even Unimodular Lattices.- 6 Langlands Parametrization.- 7 A Few Cases of the Arthur-Langlands Conjecture.- 8 Arthur's Classification for the Classical Z-groups.- 9 Proofs of the Main Theorems.- 10 Applications.- A The Barnes-Wall Lattice and the Siegel Theta Series.- B Quadratic Forms and Neighbors in Odd Dimension.- C Tables.- References.-.Postface- Notation Index.-Terminology Index.
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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