"Geometry and Analysis on Groups" Research Seminar
Time: 2014.12.09, 15:00--17:00
Location: Seminarraum 8, Oskar-Morgenstern-Platz 1, 2.Stock
Title: "Lattices envelopes."
Speaker: Roman Sauer (IAG)
Under abstract group theoretic conditions on a countable
group \(\Gamma\) we classify all lattice embeddings of \(\Gamma\)
into a locally compact group \(G\). Under these, relatively mild,
conditions the only possible non-uniform lattice embeddings turn out
to be lattices in semisimple Lie groups, generalized S-arithmetic or
The proofs rely on a number of results about rigidity of
classical lattices (Margulis' arithmeticity and normal subgroup theorem)
as well as about quasi-isometry rigidity (Kleiner-Leeb).
This is based on joint work with Uri Bader and Alex Furman.