SMS scnews item created by Haotian Wu at Mon 22 May 2017 2338
Type: Seminar
Distribution: World
Expiry: 22 Nov 2017
Calendar1: 1 Jun 2017 1200-1300
CalLoc1: Carslaw 535A
CalTitle1: Geometry & Topology Seminar: Jessica Purcell -- Geometric limits of knot complements
Auth: haotianw@ (hawu2800) in SMS-WASM

Geometry & Topology Seminar

Geometric limits of knot complements

Jessica Purcell (Monash)

Thursday 1 June 12:00–13:00 in Carslaw 535A.

Please join us for lunch after the talk!

Abstract: The complement of a knot often admits a hyperbolic metric: a metric with constant curvature -1. In this talk, we will investigate sequences of hyperbolic knots, and the possible spaces they converge to as a geometric limit. In particular, we show that there exist hyperbolic knots in the 3-sphere such that the set of points of large injectivity radius in the complement take up the bulk of the volume. This is joint work with Autumn Kent.

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