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

## Approximate lattices in amenable groupsAdd to your list(s) Download to your calendar using vCal - Simon Machado (University of Cambridge)
- Friday 31 January 2020, 13:45-14:45
- CMS, 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. ## This talk is included in these lists:- All CMS events
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