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SUMMARY:Dioperads\, Frobenius monoidal functors and integration along fibe
 rs [MPIM]
DTSTART:20250319T153000Z
DTEND:20250319T163000Z
DTSTAMP:20260416T085700Z
UID:indico-event-292@math-events.uni-bonn.de
DESCRIPTION:Speakers: Hugo Pourcelot (Università degli studi di Firenze)\
 n\nAbstract homotopy theory seminar \nDioperads encode algebraic structur
 es with several input and output\, generalizing operads. In the same way l
 ax monoidal functors are exactly those preserving algebras over operads\, 
 I will explain that Frobenius monoidal functors are exactly those preservi
 ng algebras over dioperads.\nIn a second part\, I shall describe how to co
 nstruct (shifted) Frobenius monoidal structures given a certain orientatio
 n data\, analogous to the procedure of integration along fibers induced by
  Poincaré duality. This construction arose from a question in derived Poi
 sson geometry\, which requires an ∞-categorical generalizing of the prev
 ious result. Time depending\, I will discuss this motivation and the homot
 opical difficulties that stand in the way.\nThis is joint work with Valeri
 o Melani.\n\nhttps://math-events.uni-bonn.de/event/292/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/292/
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