BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Bruno Vallette (Sorbonne Paris North University\, France) DTSTART:20250324T150000Z DTEND:20250324T160000Z DTSTAMP:20260423T021149Z UID:ENAAS/115 DESCRIPTION:Title: Homotopy bialgebraic structures in geometry and topology\nby Bruno Val lette (Sorbonne Paris North University\, France) as part of European Non-A ssociative Algebra Seminar\n\n\nAbstract\nIt is well known from the PhD th esis of Jim Stasheff that the homotopy theory of associative algebras is e ncoded by homotopy associative algebras\, aka A_infini-algebras\, since th is latter notion carries infini-morphisms and satisfies a homotopy transfe r theorem\, for instance. A_infini-algebra structures encode the topologic al data of a space on the level of cochain complexes. When one wants to en code more data\, like the Poincaré duality of manifolds\, string topology \, or non-commutative derived geometry\, then one has to consider further structural operations\, like symmetric bitensors or double brackets. The p urpose of this talk will be to present the associated new types of homotop y bialgebras\, to explain their relationship\, and to show that they admit suitable homotopy properties like infini-morphisms and homotopy transfer theorem. To mention them\, we will treat pre-Calabi—Yau algebras\, homot opy double Poisson bialgebras\, and homotopy infinitesimal balanced bialge bras. This is based on a joint work with Johan LERAY available at arXiv:22 03.05062.\n LOCATION:https://researchseminars.org/talk/ENAAS/115/ END:VEVENT END:VCALENDAR