"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)
Abstract: 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 S-adelic lattices. 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.