MPIM

On the sublinear classification and rigidity of lattices in semisimple Lie groupsMPIM

by Ido Grayevsky (University of Bristol)

Europe/Berlin
MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

MPIM, Vivatsgasse, 7 - Lecture Hall

Max Planck Institute for Mathematics

120
Description

Oberseminar Differentialgeometrie

Sublinear Bilipschitz Equivalence (SBE) is a weak form of quasi-isometry, originally brought forward and used by Cornulier in studying the geometry of solvable Lie groups. In contrast with solvable Lie groups, the SBE-class of a semisimple Lie group of noncompact type is the same as its isometry class. I will present this SBE-classification, and then focus on the situation for non-uniform lattices: what is known and what is still open. 

Based on joint work with Gabriel Pallier (Lille).