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SUMMARY:Eric Samperton (UIUC)
DTSTART:20201106T230000Z
DTEND:20201107T000000Z
DTSTAMP:20260423T005725Z
UID:caltechGT/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/caltechGT/6/
 ">3-manifold invariants\, G-equivariant TQFT\, and complexity</a>\nby Eric
  Samperton (UIUC) as part of Caltech geometry/topology seminar\n\n\nAbstra
 ct\nLet G be a finite group.  G-equivariant TQFTs have received attention 
 from both mathematicians and physicists\, motivated in part by the search 
 for new topological phases that can be used as the hardware for a universa
 l quantum computer.  Our goal will be to convey two complexity-theoretic l
 essons.  First\, when G is sufficiently complicated (nonabelian simple)\, 
 3-manifold invariants derived from G-equivariant TQFTs are very difficult 
 to compute (#P-hard)\, even on a quantum computer.  Second\, no matter wha
 t finite group G one uses\, a 3-dimensional G-equivariant TQFT can not be 
 used for universal topological quantum computation if the underlying non-e
 quivariant theory is not already universal.  This talk is based on joint w
 orks with Greg Kuperberg and Colleen Delaney.\n
LOCATION:https://researchseminars.org/talk/caltechGT/6/
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