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SUMMARY:David Robertson (University of New England)
DTSTART:20230217T023000Z
DTEND:20230217T033000Z
DTSTAMP:20260423T052931Z
UID:SiN/52
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SiN/52/">Sel
 f-similar quantum groups</a>\nby David Robertson (University of New Englan
 d) as part of Symmetry in Newcastle\n\n\nAbstract\nQuantum automorphism gr
 oups originated in the work of Wang in the mid 90s as an answer to questio
 n of Connes: what are the quantum automorphisms of a space? Wang showed th
 at for a finite set with at least 4 points there are an infinite number of
  quantum permutations. Since then\, work on quantum automorphism groups ha
 s progressed in many different directions\, including the construction of 
 the quantum automorphism group of a finite graph by Bichon in 2004 and qua
 ntum automorphisms of locally finite graphs by Rollier and Vaes in 2022.  
 In a recent preprint with Nathan Brownlowe\, we have shown that the  quant
 um automorphism group of a homogeneous rooted tree is a compact quantum gr
 oup\, and defined when a quantum subgroup is self-similar.  In this talk I
  will give an overview of this construction\, and construct a number of ex
 amples through an analogue of the notion of a finitely constrained self-si
 milar group defined by Sunic in 2011.\n
LOCATION:https://researchseminars.org/talk/SiN/52/
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