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SUMMARY:Christoph Dorn (University of Oxford)
DTSTART:20220316T170000Z
DTEND:20220316T180000Z
DTSTAMP:20260423T040334Z
UID:TQFT/54
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/54/">Ma
 nifold diagrams: Poincaré duality\, singularities\, and smooth structures
 </a>\nby Christoph Dorn (University of Oxford) as part of Topological Quan
 tum Field Theory Club (IST\, Lisbon)\n\nLecture held in Room 3.10 (3rd flo
 or\, Mathematics Department\, Instituto Superior Técnico).\n\nAbstract\nW
 e will pick things up just where we left off last week in Manuel's talk. W
 e will discuss combinatorial and geometric models for manifold diagrams (i
 .e. higher dimensional generalizations of string diagrams) based on recent
  joint work with Chris Douglas. We focus on three aspects of the theory: (
 1) the geometric duality of manifold diagrams and pasting diagrams\, whose
  cells provide a novel "universal" class of shapes for higher category the
 ory\; (2) how to extend the tantalizing connection between classical singu
 larities and laws of dualizable objects into higher dimensions\, overcomin
 g obstructions faced by classical differential singularity theory\; and (3
 ) the conjectural "combinatorialization" of smooth structures\, which woul
 d allow us to faithfully represent smooth structures of manifolds in manif
 old diagrams\, and thus by purely combinatorial means.\n\nWe ask our parti
 cipants based in the US and Canada to be mindful of the time difference\, 
 with the beginning of DST there on March 13th.\n
LOCATION:https://researchseminars.org/talk/TQFT/54/
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