9 citations · 22 across the 16 of their papers we have counts for
14 papers · 1 filter
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…
is unacceptable
Gaëtan Chenevier, Wee Teck Gan
We classify the pairs of group morphisms which are element conjugate but not globally conjugate. As an application, we study the case where is the…
Statistics for Kneser p-neighbors
Gaëtan Chenevier
Let L and L' be two integral Euclidean lattices in the same genus. We give an asymptotic formula for the number of Kneser p-neighbors of L which are isometric to L', when the prime…
The Characteristic Masses of Niemeier Lattices
Gaëtan Chenevier
Let be an integral lattice in the Euclidean space and an irreducible representation of the orthogonal group of . We give an implemented algorit…
Discrete series multiplicities for classical groups over Z and level 1 algebraic cusp forms
Gaëtan Chenevier, Olivier Taïbi
The aim of this paper is twofold. First, we introduce a new method for evaluating the multiplicity of a given discrete series in the space of level automorphic forms of a split…
Siegel modular forms of weight 13 and the Leech lattice
Gaëtan Chenevier, Olivier Taïbi
For and , there is a nonzero alternating -multilinear form on the lattice, unique up to a scalar, which is invariant by the orthogonal group of ${\…
On the minima of positive definite binary hamiltonian forms
Gaëtan Chenevier, Frédéric Paulin
Let be a definite quaternion algebra over , with discriminant , and a maximal order of . We show that the minimum of the positive definite hamiltonian bi…
An automorphic generalization of the Hermite-Minkowski theorem
Gaëtan Chenevier
We show that for any integer , there are only finitely many cuspidal algebraic automorphic representations of over , with varying, whose conductor i…
Level one algebraic cusp forms of classical groups of small ranks
Gaetan Chenevier, David Renard
We determine the number of level 1, polarized, algebraic regular, cuspidal automorphic representations of GL_n over Q of any given infinitesimal character, for essentially all n <=…
On number fields with given ramification
Gaetan Chenevier
Let E/F be a CM field split above a finite place v of F, let l be a rational prime number which is prime to v, and let S be the set of places of E dividing lv. If E_S denotes a max…
Converging sequences of p-adic Galois representations and density theorems
Joel Bellaiche, Gaetan Chenevier, Chandrashekhar Khare +1
We consider limits of p-adic Galois representations, study different notions of convergence for such representations, and prove Cebotarev-type density theorems for them.