Organisers:
Tali Pinsky (Monash University)
Andy Hammerlindl (Monash University)
Andre de Carvalho (Universidade de Sao Paulo, Brazil)

Program Description:
This event aims to bring together leading experts and early-career researchers from Australia and internationally from the areas of smooth dynamical systems, computational dynamical systems and their applications, and low-dimensional topology. In recent years, new connections between dynamical systems and knot theory have been found, and an answer to several fundamental open questions now seems plausible. The questions we will focus on include:
(1) Do different chaotic systems, such as the Lorenz and Rossler systems give rise to different families of knots? More generally, can we develop algorithmic tools to differentiate knot families?
(2) Is there a way to relate the family of knots arising as periodic orbits to the global topology of the flow?
(3) What is the correct generalization of the concept of forcing from two-dimensional dynamics to the setting of three-dimensional flows?

The program will feature minicourses introducing the backgrounds to the different recent advances in the different fields and time for collaboration and informal discussion among a relatively diverse group of researchers.

Program Structure:

TBD

Registration:

• Deadline: TBD
• Registration is by invitation only. If you are interested to participate in this program, please contact one of the organisers with your CV and research background.
• Arrival date: 22 Nov 2026

ASSOCIATED EVENTS
MATRIX Wine and Cheese Afternoon 24 November 2026
On the first Tuesday of each program, MATRIX provides a pre-dinner wine and cheese afternoon. Produce is locally-sourced to showcase delicacies from the region.