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SUMMARY:Domenico Fiorenza (Università degli Studi di Roma "La Sapienza")
DTSTART:20211118T133000Z
DTEND:20211118T143000Z
DTSTAMP:20260423T021452Z
UID:itaca/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/itaca/11/">C
 ategorical shadows lurking behind integral formulas for genera</a>\nby Dom
 enico Fiorenza (Università degli Studi di Roma "La Sapienza") as part of 
 ItaCa Fest 2021\n\n\nAbstract\nProfessor Friedrich: And so\, if you have a
  complex genus taking rational values\, i.e.\, a ring homomorphism from th
 e complex cobordism ring to the field Q of rational numbers\, you have an 
 integral formula expressing it.\n\nThe Categorist: If a formula is true\, 
 it must be expressed by a commutative diagram.\n\nProfessor Friedrich: But
  my formula is true!\n\nThe Categorist: Then it must be expressed by a com
 mutative diagram.\n\nProfessor Friedrich: Show me.\n\nThe Categorist: Let 
 us consider the category of spectra…\n\nProfessor Friedrich: And so?\n\n
 The Categorist: Well… I don’t see a commutative diagram here.\n\nProfe
 ssor Friedrich: And so?\n\nThe Categorist: And so your formula must be fal
 se.\n\nProfessor Friedrich: But my formula is true!\n\nThe Categorist: Imp
 ossible.\n\nSir Michael: There is something I think I know on the Spanier-
 Whitehead dual of a smooth manifold that may happen to be of some relevanc
 e here.\n\n(Emil Ionesco\, Triceratops)\n
LOCATION:https://researchseminars.org/talk/itaca/11/
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