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SUMMARY:Simon Machado (ETH Zurich)
DTSTART:20241128T133000Z
DTEND:20241128T143000Z
DTSTAMP:20260423T021104Z
UID:GaTO/110
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/110/">A
 pproximate lattices: structure and beyond</a>\nby Simon Machado (ETH Zuric
 h) as part of Geometry and topology online\n\nLecture held in Room B3.02 i
 n the Zeeman Building\, University of Warwick.\n\nAbstract\nApproximate la
 ttices are aperiodic generalisations of lattices in locally compact groups
 . Yves Meyer first introduced them in abelian groups before studying them 
 as mathematical models for quasi-crystals. Since then\, their structure ha
 s been thoroughly investigated in both abelian and non-abelian settings. T
 he primary motivation behind this research was to extend Meyer’s foundat
 ional theorem to non-abelian locally compact groups.\n\nThis generalisatio
 n has now been established\, and I will discuss the resulting structure th
 eory. I will highlight certain concepts\, including a notion of cohomology
  that lies between group cohomology and bounded cohomology\, which plays a
  significant role in their study. Additionally\, I will formulate open pro
 blems and conjectures related to approximate lattices.\n
LOCATION:https://researchseminars.org/talk/GaTO/110/
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