Little disks operads and rational Goodwillie-Weiss calculus (Thomas Willwacher, ETHZ)

26.04.2018 16:15 – 17:15

The little n-disks operads are classical objects in topology, introduced by Boardman-Vogt and May in the 1970's in their study of iterated loop spaces. They have since seen a wealth of applications in algebra and topology, and received much attention recently due to their appearance in the manifold calculus of Goodwillie and Weiss, and in the factorization (or topological chiral) homology by Lurie, Francis, Beilinson-Drinfeld and others.
I will report on joint work with Victor Turchin and Benoit Fresse, in which we (mostly) settle the rational homotopy theory of the little n-disks operads, by showing that they are intrinsically formal for n>=3, and by computing the rational homotopy type of the function spaces between these objects. As an application we obtain complete rational invariants of long knots in codimension >=3.

PS. The Colloquium will be followed by an aperitif

Lieu

Acacias, Room 17, Colloque

Organisé par

Section de mathématiques

Intervenant-e-s

Thomas Willwacher, ETHZ

entrée libre

Classement

Catégorie: Colloque