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SUMMARY:Hua Wang (Harbin Institute of Technology\, China)
DTSTART:20250414T140000Z
DTEND:20250414T150000Z
DTSTAMP:20260422T181228Z
UID:QGS/126
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/126/">A 
 Theory of Locally Convex Hopf Algebras -- I. Basic Theory and Examples</a>
 \nby Hua Wang (Harbin Institute of Technology\, China) as part of Quantum 
 Groups Seminar [QGS]\n\n\nAbstract\nThis is the first of two talks on a re
 cent theory of locally convex Hopf algebras. After a brief introduction to
  some relevant facts on locally convex spaces as well as their topological
  tensor products\, we will describe the main theory with an emphasis on du
 ality. We will see that besides the usual strong dual\, the theory encompa
 sses naturally a new type of dual called the polar dual. After presenting 
 the main theoretical results\, we will illustrate the theory with various 
 examples. In particular\, we will see how to resolve the duality problem f
 or classical Hopf algebras\, how to describe a Lie group as well as its du
 al using smooth functions\, and how to incorporate compact and discrete qu
 antum groups into this framework.\n
LOCATION:https://researchseminars.org/talk/QGS/126/
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