**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@61.50.206.26 (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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