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SUMMARY:An introduction to discrete approximate subgroups of Lie groups - 
 Tobias Hartnick (Giessen\, Germany)
DTSTART:20190313T134500Z
DTEND:20190313T144500Z
UID:TALK121054@talks.cam.ac.uk
CONTACT:Aled Walker
DESCRIPTION: In the first part of this talk I will introduce various metho
 ds (geometric\, dynamical\, analytical) to study infinite discrete approxi
 mate subgroups of Lie groups and briefly survey some of the results obtain
 ed in this area over the last few years (jointly with Michael Björklund\,
  Jean-Philippe Burelle\, Matt Cordes\, Fanny Kassel\, Felix Pogorzelski\, 
 Vera Tonic\, Stefan Witzel and others). A particular focus will be on unif
 orm and non-uniform approximate lattices and their associated dynamical sy
 stems.\n\nIn the second part of this talk I will focus on a single theorem
 \, the classical Borel density theorem on lattices in semisimple Lie group
 s\, and explain the difficulties one has to face in extending this result 
 to approximate lattices and how these can be overcome. This part is based 
 on joint work with Michael Björklund and Thierry Stulemeijer.
LOCATION:MR11\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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