7 citations · 14 across the 6 of their papers we have counts for
6 papers
A note on local rigidity
Nicolas Bergeron, Tsachik Gelander
The aim of this note is to give a geometric proof for classical local rigidity of lattices in semisimple Lie groups. We are reproving well known results in a more geometric (and ho…
On the growth of L2-invariants of locally symmetric spaces, II: exotic invariant random subgroups in rank one
Miklos Abert, Nicolas Bergeron, Ian Biringer +4
In the first paper of this series (arxiv.org/abs/1210.2961) we studied the asymptotic behavior of Betti numbers, twisted torsion and other spectral invariants for sequences of latt…
The Noether-Lefschetz conjecture and generalizations
Nicolas Bergeron, Zhiyuan Li, John Millson +1
We prove the Noether-Lefschetz conjecture on the moduli space of quasi-polarized K3 surfaces. This is deduced as a particular case of a general theorem that states that low degree…
The Relative Lie Algebra Cohomology of the Weil Representation of SO(n,1)
Nicolas Bergeron, John J. Millson, Jacob Ralston
In Part 1 of this paper we construct a spectral sequence converging to the relative Lie algebra cohomology associated to the action of any subgroup of the symplectic group on t…
Sur le spectre et la topologie des variétés hyperboliques de congruence : les cas complexe et quaternionien
Nicolas Bergeron, Laurent Clozel
Building on results of Arthur and Mok, we extend to (finite volume) complex and quaternionic hyperbolic manifolds the results of arXiv:1004.1085. For the spherical spectrum our res…
Quelques conséquences des travaux d'Arthur pour le spectre et la topologie des variétés hyperboliques
Nicolas Bergeron, Laurent Clozel
En nous basant sur les résultats d'Arthur annoncés dans \cite[§30]{Arthur} nous démontrons les conjectures énoncées dans \cite{IMRN,BC,SMF} dans le cas des groupes orthogonaux à l'…