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SUMMARY:Lukas Rollier (Katholieke Universiteit Leuven\, Belgium)
DTSTART:20240610T140000Z
DTEND:20240610T150000Z
DTSTAMP:20260422T180234Z
UID:QGS/121
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/121/">Qu
 antum automorphism groups of discrete structures</a>\nby Lukas Rollier (Ka
 tholieke Universiteit Leuven\, Belgium) as part of Quantum Groups Seminar 
 [QGS]\n\n\nAbstract\nGiven any mathematical structure\, it is a natural qu
 estion to ask which quantum symmetries it admits. One can in general not h
 ope to find a quantum automorphism group for any structure in the framewor
 k of Kustermans-Vaes\, as a necessary condition for its existence is local
  compactness of the classical automorphism group. In recent work\, a wide 
 range of discrete structures\, those which are connected and locally finit
 e in a suitable sense\, were shown to admit an algebraic quantum automorph
 ism group. The main tool for their construction is a generalization of the
  Tannaka-Krein-Woronowicz reconstruction theorem. In particular\, this all
 ows to construct quantum automorphism groups of connected locally finite q
 uantum graphs\, such as Wasilewski's quantum Cayley graphs\, generalizing 
 joint results with Stefaan Vaes.\n
LOCATION:https://researchseminars.org/talk/QGS/121/
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