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SUMMARY:Lucas Hataishi (University of Oslo\, Norway)
DTSTART:20220516T140000Z
DTEND:20220516T150000Z
DTSTAMP:20260422T175700Z
UID:QGS/59
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/59/">Yet
 ter-Drinfeld algebras\, module categories and injectivity</a>\nby Lucas Ha
 taishi (University of Oslo\, Norway) as part of Quantum Groups Seminar [QG
 S]\n\n\nAbstract\nMany examples of quantum group actions carry a Yetter-Dr
 infeld structure. Among them\, you find C*-algebras coming from the bounda
 ry theory of Drinfeld doubles\, which is closely related to the theory of 
 ucp maps and injective envelopes of Hamana. Exploring Tannaka-Krein dualit
 y for quantum group actions\, it is possible to extend many concepts and r
 esults of boundary theory to the categorical setting\, but the lack of a c
 ategorification of non-braided-commutative Yetter-Drinfeld algebras impose
  an obstruction to a full analogy.\n\nIn this talk\, I will sketch how to 
 perform such a categorification and relate it to the study of injectivity 
 for module categories. Based on joint works with E. Habbestad\, S. Neshvey
 ev and M. Yamashita.\n
LOCATION:https://researchseminars.org/talk/QGS/59/
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