BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Shiquan Ren DTSTART:20260624T073000Z DTEND:20260624T090000Z DTSTAMP:20260619T214211Z UID:Mos-Bei-top-seminar/149 DESCRIPTION:Title: Double complexes for configuration spaces and hypergraphs on manifolds\nby Shiquan Ren as part of Moscow-Beijing topology seminar\ n\n\nAbstract\nIn this talk\, we consider hypergraphs whose vertices are d istinct points moving smoothly on a Riemannian manifold. We take these hyp ergraphs as graded submanifolds of configuration spaces. We construct doub le complexes of differential forms on configuration spaces. Then we constr uct double complexes of differential forms on hypergraphs\, which are sub- double complexes of the double complex for the ambient configuration space . Among these double complexes for hypergraphs\, the infimum double comple x and the supremum double complex are quasi-isomorphic concerning the boun dary maps induced from vertex deletion of the hyperedges. In particular\, all the double complexes are identical if the hypergraph is a Delta-subman ifold of the ambient configuration space. We will discuss the restriction condition and the extension condition in order to make the arguments stric t.\n LOCATION:https://researchseminars.org/talk/Mos-Bei-top-seminar/149/ END:VEVENT END:VCALENDAR