Automorphic Forms and Even Unimodular Lattices: Kneser Neighbors of Niemeier Lattices

ISBN-13: 9783319958903 / Angielski / Twarda / 2019 / 417 str.

Reinie Erne; Gaetan Chenevier; Jean Lannes

Spis treści

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.

O autorze

Gaëtan Chenevier is a number theorist and Senior CNRS Researcher at Université Paris-Sud.

Jean Lannes is a topologist and Emeritus Professor at Université Paris Diderot.