University of Cambridge > > Geometric Group Theory (GGT) Seminar > Approximate lattices in amenable groups

Approximate lattices in amenable groups

Add to your list(s) Download to your calendar using vCal

  • UserSimon Machado (University of Cambridge)
  • ClockFriday 31 January 2020, 13:45-14:45
  • HouseCMS, MR13.

If you have a question about this talk, please contact .

Approximate lattices are approximate subgroups of locally compact groups that generalise lattices (discrete subgroups of finite co-volume). A theorem due to Yves Meyer asserts that approximate lattices in Euclidean spaces are projections of certain subsets of lattices in higher-dimensional spaces. This raises the following question: does Meyer’s theorem hold for approximate lattices in non-commutative locally compact groups?

I will prove that Meyer’s theorem holds for approximate lattices in amenable locally compact subgroups. To do so I will define “good models” that relate approximate subgroups to compact neighbourhoods of the identity in locally compact groups. I will also explain how similar methods yield a generalisation of Auslander’s theorem about the intersection of a lattice in a Lie group and the amenable radical.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2023, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity