Sublinear rigidity of lattices in semisimple Lie groups

  • Tagungsort:

    Geb. 20.30, SR 2.058

  • Datum:


  • Referent:

    Ido Grayevsky

  • Zeit:

    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 quasi-isometric rigidity results. 

    The main focus of my talk will be the geometric structure of non-uniform 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 Benoist-Miquel.