BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Danica Kosanović (Max-Planck Institut für Mathematik) DTSTART:20200529T160000Z DTEND:20200529T170000Z DTSTAMP:20260423T021302Z UID:TQFT/2 DESCRIPTION:Title: Kno t invariants from homotopy theory\nby Danica Kosanović (Max-Planck In stitut für Mathematik) as part of Topological Quantum Field Theory Club ( IST\, Lisbon)\n\n\nAbstract\nThe embedding calculus of Goodwillie and Weis s is a certain homotopy theoretic technique for studying spaces of embeddi ngs. When applied to the space of knots this method gives a sequence of kn ot invariants which are conjectured to be universal Vassiliev invariants. This is remarkable since such invariants have been constructed only ration ally so far and many questions about possible torsion remain open. In this talk I will present a geometric viewpoint on the embedding calculus\, whi ch enables explicit computations. In particular\, we prove that these knot invariants are surjective maps\, confirming a part of the universality co njecture\, and we also confirm the full conjecture rationally\, using some recent results in the field. Hence\, these invariants are at least as goo d as configuration space integrals.\n LOCATION:https://researchseminars.org/talk/TQFT/2/ END:VEVENT END:VCALENDAR