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SUMMARY:Moritz Weber (Saarland University)
DTSTART:20201028T170000Z
DTEND:20201028T180000Z
DTSTAMP:20260423T005835Z
UID:WMGAG/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WMGAG/5/">Qu
 antum automorphism groups of finite graphs: a survey</a>\nby Moritz Weber 
 (Saarland University) as part of GAG seminar\n\n\nAbstract\nBased on the t
 heory of $C^*$-algebras\, Woronowicz developed an analytic approach to qua
 ntum groups in the 1980s. In the 1990s\, Sh. Wang defined quantum permutat
 ion groups within his framework\; these are quantum versions of the well-k
 nown symmetric groups. In the 2000s\, Banica and Bichon defined the notion
  of a quantum automorphism group of a finite graph\, building on Wang’s 
 quantum permutation groups. Such a quantum group contains the automorphism
  group of the given graph\, but in some cases\, it may be strictly larger.
  So\, in a way\, we then have more ways of quantum permuting vertices rath
 er than just permuting them - we have more symmetries.\n\nI will briefly i
 ntroduce to compact matrix quantum groups in the sense of Woronowicz and t
 hen survey the current knowledge on quantum automorphism groups of graphs.
  I will also indicate some open problems in this relatively new field.\n
LOCATION:https://researchseminars.org/talk/WMGAG/5/
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