Abstract:

Buffers Files Tools Edit Search Mule Help My title will be: Super-rigid non- arithmetic group; A counter example to Platonov conjecture. Abstract: The celebrated theorem pf Margulis says that lattices (=discrete subgroups of finite covolume) in higher rank Lie groups are super-rigid and arithmetic. Platonov conjectured that any linear super-rigid group is of arithmetic type. The conjecture could have nice applications. We present counter examples which shows that our understanding of linear groups is still far from being satisfying. The idea of the construction is based on ideas applied to answer Grothendieck's problem on maps between pro-finite completions. (joint work with Hyman Bass).