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SUMMARY:Theo Johnson-Freyd (Perimeter/Dalhousie)
DTSTART:20210726T190000Z
DTEND:20210726T200000Z
DTSTAMP:20260423T021402Z
UID:WHCGP/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WHCGP/38/">S
 emisimple higher categories</a>\nby Theo Johnson-Freyd (Perimeter/Dalhousi
 e) as part of Western Hemisphere colloquium on geometry and physics\n\n\nA
 bstract\nSemisimple higher categories are a quantum version of topological
  spaces (behaving sometimes like homotopy types and sometimes like manifol
 ds) in which cells are attached along superpositions of other cells. Many 
 operations from topology make sense for semisimple higher categories: they
  have homotopy sets (not groups)\, loop spaces\, etc. For example\, the ex
 tended operators in a topological sigma model form a semisimple higher cat
 egory that can be thought of as a type of "cotangent bundle" of the target
  space. The "symplectic pairing" on this "cotangent bundle" is measured an
  S-matrix pairing aka Whitehead bracket defined on the homotopy sets of an
 y (pointed connected) semisimple higher category\, and the nondegeneracy o
 f this pairing is a type of Poincare or Atiyah duality. This is joint work
  in progress with David Reutter.\n
LOCATION:https://researchseminars.org/talk/WHCGP/38/
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