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SUMMARY:Debashish Goswami (Indian Statistical Institute\, India)
DTSTART:20210329T140000Z
DTEND:20210329T150000Z
DTSTAMP:20260422T180234Z
UID:QGS/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/16/">Qua
 ntum Galois Group of Subfactors</a>\nby Debashish Goswami (Indian Statisti
 cal Institute\, India) as part of Quantum Groups Seminar [QGS]\n\n\nAbstra
 ct\n(joint work with Suvrajit Bhattacharjee and Alex Chirvasitu) \n\nIn th
 is talk\, I prove the existence of a universal (terminal) object in a numb
 er of categories of Hopf algebras acting on a given subfactor $N \\subset 
 M$ (finite index\, type $\\text{II}_1$) such that $N$ is in the fixed poin
 t subalgebra of the action. These universal Hopf algebras can be interpret
 ed as a quantum group version of Galois group of the subfactor. We compute
  such universal quantum groups for certain class of subfactors\, notably t
 hose coming from outer actions of finite dimensional Hopf $\\ast$ algebras
 .\n
LOCATION:https://researchseminars.org/talk/QGS/16/
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