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SUMMARY:Hua Wang (Harbin Institute of Technology\, China)
DTSTART:20250421T140000Z
DTEND:20250421T150000Z
DTSTAMP:20260422T182333Z
UID:QGS/130
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/130/">A 
 Theory of Locally Convex Hopf Algebras -- II. More Duality Results and Exa
 mples</a>\nby Hua Wang (Harbin Institute of Technology\, China) as part of
  Quantum Groups Seminar [QGS]\n\n\nAbstract\nThis is the second of two tal
 ks on a recent theory of locally convex Hopf algebras. We will start by pr
 esenting a generalized version of the Gelfand duality\, and later apply it
  in various situations to obtain the underlying topological group from the
  corresponding locally convex Hopf algebras. Surprisingly\, we can go much
  beyond the locally compact case in this classical situation\, and make th
 e theory work for all topological groups with compactly generated topology
 . Then we shift to some categorical considerations\, allowing us to obtain
  new topological quantum groups as well as their dualities that seem not i
 n the locally compact framework of Kustermans-Vaes. If time permits\, we w
 ill conclude by mentionning how some deep structural results related to Hi
 lbert's fifth problem can be applied in this theory.\n
LOCATION:https://researchseminars.org/talk/QGS/130/
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