On a quantitative version of the Oppenheim conjecture.
On a variant of Kazhdan's property (T) for subgroups of semisimple groups
Let be an irreducible lattice in a product of simple groups. Assume that has a factor with property (T). We give a description of the topology in a neighbourhood of the trivial one dimensional representation of in terms of the topology of the dual space of .We use this result to give a new proof for the triviality of the first cohomology group of with coefficients in a finite dimensional unitary representation.
On arithmetic Fuchsian groups and their characterizations
This is a small survey paper about connections between the arithmetic and geometric properties in the case of arithmetic Fuchsian groups.
On differential operators attached to certain representations of classical groups.
On discrete subgroups of Lie groups and elliptic geometric structures.
In this paper we continue the investigation of [7]-[10] concerning the actions of discrete subgroups of Lie groups on compact manifolds.
On duals of Lie groups made discrete.
On groups with linear sci growth
We prove that the semistability growth of hyperbolic groups is linear, which implies that hyperbolic groups which are sci (simply connected at infinity) have linear sci growth. Based on the linearity of the end-depth of finitely presented groups we show that the linear sci is preserved under amalgamated products over finitely generated one-ended groups. Eventually one proves that most non-uniform lattices have linear sci.
On limit multiplicities of discrete series representations in spaces of automorphic forms.
On Manifolds Locally Modelled on Non-Riemannian Homogeneous Spaces.
On Poincaré Duality Groups of Poly-Linear Type and Their Realisations.
On rank one symmetric space
In this paper we survey some recent results on rank one symmetric space.
On -equivariant homology.
On superrigidity and arithmeticity of lattices in semisimple groups over local fields of arbitrary characteristic.
On the Betti Numbers of a Hyperbolic Manifold.
On the differential form spectrum of hyperbolic manifolds
We give a lower bound for the bottom of the differential form spectrum on hyperbolic manifolds, generalizing thus a well-known result due to Sullivan and Corlette in the function case. Our method is based on the study of the resolvent associated with the Hodge-de Rham laplacian and leads to applications for the (co)homology and topology of certain classes of hyperbolic manifolds.
On the dynamics of pseudo-Anosov homeomorphisms on representation varieties of surface groups.
On the Link Space of a Gorenstein Quasihomogeneous Surface Singularity.
On the properly discontinuous subgroups of affine motions.
On the Proportionality of Covolumes of Discrete Subgroups.
On volumes of arithmetic quotients of
We apply G. Prasad’s volume formula for the arithmetic quotients of semi-simple groups and Bruhat-Tits theory to study the covolumes of arithmetic subgroups of . As a result we prove that for any even dimension there exists a unique compact arithmetic hyperbolic -orbifold of the smallest volume. We give a formula for the Euler-Poincaré characteristic of the orbifolds and present an explicit description of their fundamental groups as the stabilizers of certain lattices in quadratic spaces. We...