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X-FROM-URL:https://eom.sdu.dk/events/ical/687789bf-aede-4cf8-b1b5-2b2eb63d
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X-WR-CALNAME:QM Research Seminar: Dioperadic Koszulity and Poincaré duality
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DESCRIPTION:[b]Speaker: Alex Takeda [/b](Uppsala University)\n[b]Abstract:
 [/b]\nIn rational homotopy theory\, there are notions of formality and co
 formality of a topological space\, related to how “simple” the higher str
 uctures on their minimal models are. In particular\, for simply connected
  spaces\, the notion of coformality\, which measures how simple is the Qu
 illen model for its rational homotopy groups\, can be related to the form
 ality of A-infinity algebras\, which is something that can be stated enti
 rely within the homotopy theory of operadic algebras. In this talk I will
  explain a generalization of this latter notion of formality that extends
  this notion to a pair (X\,[X]) of a space with a fundamental class givin
 g local Poincaré duality. This is phrased in terms of algebras over a cer
 tain dioperad Y\, which one can show is Koszul using a certain geometric 
 construction. Part of this talk is about joint work with C. Emprin.
DTEND:20260114T150000Z
DTSTAMP:20260423T042207Z
DTSTART:20260114T140000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
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SUMMARY:QM Research Seminar: Dioperadic Koszulity and Poincaré duality
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