4 papers
Unimodular lattices of rank 29 and related even genera of small determinant
Gaëtan Chenevier, Olivier Taïbi
We classify the unimodular Euclidean integral lattices of rank 29 by developing an elementary, yet very efficient, inductive method. As an application, we determine the isometry cl…
Triality and Functoriality
Gaëtan Chenevier, Wee Teck Gan
We use the triality automorphism of simple algebraic groups of type to prove some new instances of global Langlands functorial lifting. In particular, we prove the (weak) spi…
Unimodular Hunting II
Bill Allombert, Gaëtan Chenevier
Pursuing ideas in a recent work of the second author, we determine the isometry classes of unimodular lattices of rank 28, as well as the isometry classes of unimodular lattices of…
Unimodular Hunting
Gaëtan Chenevier
We develop a method initiated by Bacher and Venkov, and based on a study of the Kneser neighbors of the standard lattice Z^n, which allows to classify the integral unimodular Eucli…