4 papers
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…
On the growth of -invariants for sequences of lattices in Lie groups
Miklos Abert, Nicolas Bergeron, Ian Biringer +4
We study the asymptotic behaviour of Betti numbers, twisted torsion and other spectral invariants of sequences of locally symmetric spaces. Our main results are uniform versions of…
On the number of finite subgroups of a lattice
Iddo Samet
We show that the number of conjugacy classes of maximal finite subgroups of a lattice in a semisimple Lie group is linearly bounded by the covolume of the lattice. Moreover, for hi…
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…