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
F. Martin and A. Valette (2012), Free groups and reduced 1-cohomology of unitary representations, in Clay Math. Proc. 11 (ed.), Amer. Math. Soc., Providence, 459-463.
B. Colbois A. Savo , (2011), Large eigenvalues and concentration, in Pacific J. of Mathematics
, 249(2), 271-290.
F. Baudier N. J. Kalton and G. Lancien (2011), A new metric invariant for Banach spaces, in Studia Math.
, 199(1), 73-94.
Soyoung Moon (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.
B. Colbois D. Maerten (2011), Eigenvalue estimate for the rough Laplacian on differential forms, in Manuscripta Mathematica
, 132, 399-413.
B. Colbois C. Vernicos P. Verovic , (2011), Hilbert geometry for convex polygonal domains, in Journal of Geometry
, 100(1-2), 37-64.
B. Colbois A. El Soufi and A. Girouard (2011), Isoperimetric control of the Steklov spectrum,, in J. Funct. Analysis
, 261(5), 1384-1399.
Alain Valette (2011), Les Medailles Fields 2010, in Losanges
, 12, 35-41.
Soyoung Moon (2011), Permanence properties of amenable, transitive and faithful actions, in Bull. Belgian Math. Soc. Simon Stevin
, 18(2), 287-296.
M.-A. Lawn J. Roth (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.
A. Valette (2010), Elon Lindenstrauss, medaille Fields 2010, in Tangente
, 137, 11-27.
F. Baudier, Embeddings of proper metric spaces into Banach spaces, in Houston Journal of Mathematics.
Y. Cornulier Y. Stalder and A. Valette, Proper actions of wreath products and generalizations, in Trans. Amer. Math. Soc.
T. Fernos and A. Valette, Reduced 1-cohomology and relative property (T), in Math. Zeitschrift
R. Cluckers Y. Cornulier N. Louvet R. Tessera and A. Valette, 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.