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SUMMARY:Malte Gerhold (Saarland University\, Germany)
DTSTART:20231127T150000Z
DTEND:20231127T160000Z
DTSTAMP:20260422T182333Z
UID:QGS/106
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/106/">Co
 homology of free unitary quantum groups</a>\nby Malte Gerhold (Saarland Un
 iversity\, Germany) as part of Quantum Groups Seminar [QGS]\n\n\nAbstract\
 nIn the talk\, we will discuss the free unitary quantum groups\n(or "unive
 rsal quantum groups") of Wang and van Daele from a\n(co)homological perspe
 ctive. We find a free resolution of the\ncounit\, a versatile tool which h
 elps to compute cohomological data such\nas Hochschild cohomology or bialg
 ebra cohomology of the associated Hopf\nalgebras. For free orthogonal quan
 tum groups\, such resolutions have been\nfound by Collins\, Härtel\, and 
 Thom (in the Kac-case) and Bichon (in the\ngeneral case)\, and they will s
 erve as our starting point for finding\nresolutions for free unitary quant
 um groups.\n\nBased on joint work with I. Baraquin\, U. Franz\, A. Kula an
 d M. Tobolski\n[arXiv:2309.07767<https://arxiv.org/abs/2309.07767>]\n
LOCATION:https://researchseminars.org/talk/QGS/106/
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