SMS scnews item created by Stephan Tillmann at Fri 15 Sep 2023 1416
Type: Seminar
Distribution: World
Expiry: 15 Dec 2023
Calendar1: 18 Sep 2023 1500-1600
CalLoc1: Carslaw 535A
CalTitle1: Geometry & Topology Seminar: James Morgan ’On the complexity of two-bridge link complements’
Auth: tillmann@p710m.pc (assumed)

Geometry & Topology: James Morgan -- On the complexity of two-bridge link complements

Monday 18 September 2023, 15:00-16:00, Carslaw 535

Speaker: James Morgan (Sydney)

Title: On the complexity of two-bridge link complements

Abstract: The class of two-bridge links are known to possess a nice geometry 
in the sense that an ideal triangulation of their complements can be read directly 
from the link diagram. A certain infinite family of these triangulations, first 
studied by Sakuma and Weeks, have been shown to be minimal through volume bound 
arguments by Ishikawa and Nemoto. The complexity for the vast majority of these 
link complements, however, remains unknown.

In this talk we will define the Sakuma-Weeks triangulations of two-bridge link 
complements and discuss recent progress on determining their complexity. This is 
joint work with Jonathan Spreer.