Sublinear rigidity of lattices in semisimple Lie groups

Venue:
Geb. 20.30, SR 2.058

Date:
25.05.2023
 Speaker:

Time:
15:45 Uhr

Abstract: I will discuss metric deformations of lattices in semisimple Lie groups. The underlying question is whether the class of lattices is stable (rigid) under distortions of 'sublinear' nature. I will present work that settles this question in the affirmative in almost all settings. For groups without real rank 1 factors, this amounts to proving SBE rigidity  a sublinear generalization of the classical quasiisometric rigidity results.
The main focus of my talk will be the geometric structure of nonuniform lattices and its relation to the horospheres of the corresponding symmetric space. I aim to describe the proof of a key proposition, which is motivated by a lattice criterion conjectured by Margulis and proven by Oh and BenoistMiquel.