La résolution des conjectures d'Artin dans les cas ... et ... par les méthodes de Langlands
La transformation de Fourier Plancherel analytique des groupes de Lie. II : les groupes nilpotents
Partant de la représentation de l’algèbre de Lie du groupe (nilpotent, connexe et simplement connexe) par des opérateurs différentiels rationnels dont l’existence est liée à la conjecture de Gelfand et Kirillov et démontrée dans Nghiêm Xuân Hai (Ann. Inst. Fourier, 33-4 (1983), 95–133), on calcule explicitement la transformation de Fourier-Plancherel de . En particulier, on obtient la mesure de Plancherel comme une mesure à densité sur un ouvert de Zariski du spectre antihermitien du centre...
La transformation de Fourier-Plancherel analytique des groupes de Lie. I : algèbres de Weyl et opérateurs différentiels
Dans l’algèbre enveloppante d’une algèbre de Lie résoluble, on construit un anneau de Weyl caractéristique, canonique et maximal. On peut alors représenter algébriquement l’algèbre de Lie comme des dérivations de cet anneau de Weyl à condition d’effacer un 2-cocycle canonique d’obstruction. Lorsque l’on utilise la représentation de Schrödinger de l’anneau de Weyl, on peut introduire une primitive analytique du 2-cocycle et obtenir une représentation de l’algèbre de Lie par des opérateurs différentiels...
Ladder representation norms for Hermitian symmetric groups.
l-adic representations associated to modular forms over imaginary quadratic fields.
Laplace Integral on Rational Numbers.
Laplace transform and unitary highest weight modules.
L'apparition de la théorie des groupes topologiques
Large automorphism groups of 16-dimensional planes are Lie groups. II.
Large families of dense pseudocompact subgroups of compact groups
We prove that every nonmetrizable compact connected Abelian group G has a family H of size |G|, the maximal size possible, consisting of proper dense pseudocompact subgroups of G such that H ∩ H'={0} for distinct H,H' ∈ H. An easy example shows that connectedness of G is essential in the above result. In the general case we establish that every nonmetrizable compact Abelian group G has a family H of size |G| consisting of proper dense pseudocompact subgroups of G such that each intersection H H'...
Large scale Sobolev inequalities on metric measure spaces and applications.
Large time estimates for non-symmetric heat kernel on the affine group
Large-scale isoperimetry on locally compact groups and applications
We introduce various notions of large-scale isoperimetric profile on a locally compact, compactly generated amenable group. These asymptotic quantities provide measurements of the degree of amenability of the group. We are particularly interested in a class of groups with exponential volume growth which are the most amenable possible in that sense. We show that these groups share various interesting properties such as the speed of on-diagonal decay of random walks, the vanishing of the reduced first...
Lattice in Rank One Lie Groups Over Local Fields.
Lattice Size Estimates for Gabor Decompositions.
Lattices and harmonic analysis on some 2-step solvable Lie groups.
Lattices in product of trees
Lattices in semisimple groups and distal geometric structures.
Layer potentials C*-algebras of domains with conical points
To a domain with conical points Ω, we associate a natural C*-algebra that is motivated by the study of boundary value problems on Ω, especially using the method of layer potentials. In two dimensions, we allow Ω to be a domain with ramified cracks. We construct an explicit groupoid associated to ∂Ω and use the theory of pseudodifferential operators on groupoids and its representations to obtain our layer potentials C*-algebra. We study its structure, compute the associated K-groups, and prove Fredholm...
Le corps des normes de certaines extensions infinies de corps locaux; applications