The Ran space and embedding calculus in application to knot theory
Talk by Dr. Anna Cepek (Institute of Basic Science: Center for Geometry and Physics, Pohang, South Korea)
3/9/2020 4:10-5:00pm Wilson Hall 1-144
Abstract: In this talk, we will explore the relationship between the exit-path ∞-category of the Ran space, the Goodwillie-Weiss embedding calculus tower of knots, and ﬁnite-type knot invariants. The relationship between the former two objects is due to the recent work of Pedro Boavida de Brito and Geoﬀroy Horel. With this relationship in hand, we hypothesize that the exit-path ∞category of the Ran space provides a universal means through which to witness every ﬁnite-type knot invariant.