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SUMMARY:Jacek Krajczok (Vrije Universiteit Brussel\, Belgium)
DTSTART:20240527T140000Z
DTEND:20240527T150000Z
DTSTAMP:20260422T180815Z
UID:QGS/116
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/116/">Mo
 dular invariants of quantum groups</a>\nby Jacek Krajczok (Vrije Universit
 eit Brussel\, Belgium) as part of Quantum Groups Seminar [QGS]\n\n\nAbstra
 ct\nA very interesting feature of compact quantum groups is that their Haa
 r integral\, which is a normal state on $L^{\\infty}(G)$\, can be non-trac
 ial. Via Tomita-Takesaki theory\, this gives rise to two groups of automor
 phisms: modular automorphisms and scaling automorphisms. One can use them 
 to define a number of invariants\, related to whether these automorphisms 
 are trivial\, inner or approximately inner. During the talk I'll introduce
  such invariants (also in the general locally compact case)\, discuss a co
 njecture related to one of them\, and present their calculation in the cas
 e of q-deformed compact\, simply connected\, semisimple Lie group $G_q$. T
 he talk is based on a joint work with Piotr Sołtan.\n
LOCATION:https://researchseminars.org/talk/QGS/116/
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