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Seminars

Seminar
FIELD Mathematics
DATE October 19 (Mon), 2020
TIME 16:00-17:00
PLACE Online
SPEAKER Cepek, Anna
HOST Bhamidi, S.S Sreedhar
INSTITUTE IBS-CGP
TITLE [GS_M_3W] Three W's Seminar: Approaching the space of knots with higher categories
ABSTRACT A knot K is an embedding from S^1 into R^3 . Because embeddings are, in particular, injective, K induces a map between the spaces of configurations of finite subsets of S^1 and R^3 of some fixed cardinality r. The homotopy-types of such configuration spaces organize as an ∞-category, the construction of which makes use of stratified spaces and exit-path ∞-categories thereof. The goal of this talk is to supply the constructions of these ∞-categories and motivate the use of them in studying the space of knots.
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