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SUMMARY:Simeng Wang (Harbin Institute of Technology\, China)
DTSTART:20220221T140000Z
DTEND:20220221T150000Z
DTSTAMP:20260422T182333Z
UID:QGS/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/51/">Par
 titions\, quantum group actions and rigidity</a>\nby Simeng Wang (Harbin I
 nstitute of Technology\, China) as part of Quantum Groups Seminar [QGS]\n\
 n\nAbstract\nIn this talk\, I will present a new combinatorial approach to
  the study of ergodic actions of compact quantum groups. The connection be
 tween compact quantum groups and the combinatorics of partitions goes back
  to Banica's founding work on the representation theory of free orthogonal
  quantum groups\, and was later formalized in the seminal paper of Banica 
 and Speicher under the theory of "easy quantum groups". Based on some new 
 alternative version of the Tannaka-Krein reconstruction procedure for ergo
 dic actions\, we extend Banica and Speicher's combinatorial approach to th
 e setting of ergodic actions of compact quantum groups. Our examples in pa
 rticular recovers actions on finite spaces\, on embedded homogeneous space
 s and on quotient spaces. Moreover\, we use this categorical point of view
  to study the quantum rigidity of ergodic actions on classical spaces\, an
 d show that the free quantum groups cannot act ergodically on a classical 
 connected compact space\, thereby answering a question of D. Goswami and H
 . Huang.\n\nThe talk is based on the recent preprint arXiv:2112.07506 join
 tly with Amaury Freslon and Frank Taipe.\n
LOCATION:https://researchseminars.org/talk/QGS/51/
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