SMS scnews item created by Haotian Wu at Fri 7 Apr 2017 2036
Type: Seminar
Distribution: World
Expiry: 7 Oct 2017
Calendar1: 12 Apr 2017 1200-1300
CalLoc1: Carslaw 535A
CalTitle1: Geometry & Topology Seminar: Josh Howie -- Hyperbolic geometry of weakly generalised alternating links
Auth: haotianw@como.maths.usyd.edu.au

Geometry & Topology Seminar

Hyperbolic geometry of weakly generalised alternating links

Josh Howie (Monash)

Wednesday 12 Apr 12:00–13:00 in Carslaw 535A.

Please join us for lunch after the talk!

Abstract: It is a challenge in knot theory to derive geometric information about a link complement from a diagram of that link. Over the years, this program has had particular success in the case of planar alternating diagrams. In this talk, we study a class of links which have alternating diagrams onto closed orientable surfaces of higher genus. Under certain conditions on these diagrams we are able to deduce geometric information such as whether the link complement is hyperbolic or whether the associated checkerboard surfaces are quasifuchsian. We can also obtain hyperbolic volume bounds and rule out some exceptional surgeries.
(This is joint work with Jessica Purcell)