Jeudi 26 Mars


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Jeudi 26 Mars
Heure: 14:00 - 16:00
Lieu: Salle B405, bâtiment B, LAGA, Institut Galilée, Université Paris 13
Résumé: Topologie algébrique - Knot invariants from homotopy theory -
Description: Danica KosanovicThe embedding calculus of Goodwillie and Weiss is a certain homotopy
theoretic technique for studying spaces of embeddings. When applied to
the space of knots this method gives a sequence of knot invariants which
are conjectured to be universal Vassiliev invariants. This is
remarkable since such invariants have been constructed only rationally
so far and many questions about possible torsion remain open. In this
talk I will present a geometric viewpoint on the embedding calculus,
which enables explicit computations. In particular, I will outline a
proof that these knot invariants are surjective maps, which confirms
part of the universality conjecture. I will also indicate how this can
be extended to all missing cases of the Goodwillie-Klein connectivity
estimates.