Dynamics, Foliations, and Geometry III

Jan de Gier

Registration for this event has closed.
  • 20 Feb 2023 - 3 Mar 2023
    8:00 am - 5:00 pm

Jonathan Bowden (University of Regensburg)
Sergio Fenley (Florida State University)
Andy Hammerlindl (Monash University)
Rafael Potrie (Universidad de la República)
Jessica Purcell (Monash University)

Program Description: 
This 2-week workshop focused on topics bridging the areas of dynamics, geometry, and topology. It was held as a hybrid event with hubs at both the MATRIX Institute in Creswick, Australia and at the University of Regensburg in Germany. Talks were streamed via video-conferencing between the two campuses and many other mathematicians in other parts of the world were able to attend the talks virtually.

There were two mini-courses delivered at this workshop. In Creswick, Andy Hammerlindl delivered a four part mini-course on branching foliations, detailing the proof of their existence, which has not been well understood in the dynamics community. In Regensburg, Pierre Dehornoy delivered a three part mini-course on Birkhoff sections for 3-dimensional vector fields, detailing examples of Birkhoff sections, and presenting some results on their existence.

In addition to the mini-courses, there was a series of talks on recent advances in the field. Speakers included Warwick Tucker, Thierry Barbot, Ioannis Iakovoglou, Théo Marty, Holger Dullin, Andrés Migueles, Vincent Colin, Kathryn Mann, Ana Rechtman, Davide Ravotti, and Marcelo Alves.

The informal collaborations explored applications of knot theory to the study of periodic orbits occurring in highly chaotic dynamical systems, such as the Lorenz system. Topological tools, such as Dehn filling and triangulations were applied to simple Lorenz links.

The attendance was well represented by students and the workshop was a timely opportunity for informal interactions, which was a privilege to treasure after many months of working from home. In the second week, each student gave a talk on their current research. It was unfortunate that international travel to Australia was infeasible, and this made for a smaller in person group than there would have been otherwise.

Related program: https://www.matrix-inst.org.au/events/dynamics-foliations-and-geometry-ii/

Program Structure: TBD

Participant List:
Andy Hammerlindl (Monash University)
Jessica Purcell (Monash University)
Jonathan Bowden (University of Regensburg)
Sergio Fenley (Florida State University)
Tali Pinsky  (The Technion – Israel Institute of Technology)
Mario Shannon  (Penn State University)
Warwick Tucker (Monash University)
Andrew Cook (Monash University)
Andrew Tyler (Monash University)
Natalia McAlister (Monash University)
Thiago de Paiva (Monash University)
Holger Dullin (University of Sydney)
Ioannis Iakovoglou (University of Bourgogne)
Dana C’Julio (University of Auckland)
Theo Marty (Max-Planck-Institut for Mathematics, Bonn, Germany)
Andres Rodriguez Migueles (LMU Munich)
Alex He (University of Queensland)

Registration is closed

MATRIX Wine and Cheese Afternoon 21 February 2023
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.