38 citations · 102 across the 18 of their papers we have counts for
3 papers · 1 filter
Hodge type theorems for arithmetic manifolds associated to orthogonal groups
Nicolas Bergeron, John Millson, Colette Moeglin
We show that special cycles generate a large part of the cohomology of locally symmetric spaces associated to orthogonal groups. We prove in particular that classes of totally geod…
On the growth of Betti numbers of locally symmetric spaces
Miklos Abert, Nicolas Bergeron, Ian Biringer +4
We announce new results concerning the asymptotic behavior of the Betti numbers of higher rank locally symmetric spaces as their volumes tend to infinity. Our main theorem is a uni…
Tetrahedra of flags, volume and homology of SL(3)
Nicolas Bergeron, Elisha Falbel, Antonin Guilloux Antonin
In the paper we define a "volume" for simplicial complexes of flag tetrahedra. This generalizes and unifies the classical volume of hyperbolic manifolds and the volume of CR tetrah…