Affine actions; Haagerup property; Amenable actions; Spectral theory on Riemannian manifolds; Upper bound on the spectrum; Extremal metrics; Laplace-type operators; Curvature; 1-cohomology; Wreath products; analysis on groups; geometric group theory; embeddings into Hilbert spaces and Banach spaces; proper isometric actions
(2012), Free groups and reduced 1-cohomology of unitary representations, 459-463.
(2011), Large eigenvalues and concentration, in Pacific J. of Mathematics
, 249(2), 271-290.
(2011), A new metric invariant for Banach spaces, in Studia Math.
, 199(1), 73-94.
(2011), Amenable actions of amalgamated free products of free groups over a cyclic subgroup and generic property, in Ann. Math. Blaise Pascal
, 18(2), 217-235.
(2011), Eigenvalue estimate for the rough Laplacian on differential forms, in Manuscripta Mathematica
, 132, 399-413.
(2011), Hilbert geometry for convex polygonal domains, in Journal of Geometry
, 100(1-2), 37-64.
(2011), Isoperimetric control of the Steklov spectrum,, in J. Funct. Analysis
, 261(5), 1384-1399.
(2011), Les Medailles Fields 2010, in Losanges
, 12, 35-41.
(2011), Permanence properties of amenable, transitive and faithful actions, in Bull. Belgian Math. Soc. Simon Stevin
, 18(2), 287-296.
(2011), Spinorial Characterizations of Surfaces into 3-dimensional pseudo-Riemannian Space Forms, in Journal Mathematical Physics, Analysis and Geometry
, Vol. 14( Issue 3), 185-195.
(2010), Elon Lindenstrauss, medaille Fields 2010, in Tangente
, 137, 11-27.
, Embeddings of proper metric spaces into Banach spaces, in Houston Journal of Mathematics.
, Proper actions of wreath products and generalizations, in Trans. Amer. Math. Soc.
, Reduced 1-cohomology and relative property (T), in Math. Zeitschrift
, The Howe- Moore property for real and p-adic groups, in Math. Scandivadica
This is a joint research project, continuing the series of joint proposals by Profs. Colbois and Valette at the Mathematics Institute at Université Neuchâtel. It consists of two distinct projects:Project A (head: Alain VALETTE): Proper isometric actions on Hilbert spaces and cohomology.Project B (head: Bruno COLBOIS): Spectral theory on riemannian manifolds and metric geometry.