Organisers:
Theodora Bourni (University of Tennessee Knoxville)
Tim Buttsworth (The University of Queensland; UNSW from Jan 2024)
Ramiro Lafuente (The University of Queensland)
Valentina-Mira Wheeler (University of Wollongong)

Program Description: Geometric analysis is a vibrant research field in mathematics, whose central theme is to establish existence, uniqueness, and stability of solutions to partial differential equations arising from differential geometry. Some of the most successful methods for answering these questions involve symmetries, as well as tools from nonlinear PDEs. Indeed, special solutions are often found by making symmetry assumptions, and in turn there are new interesting phenomena that appear only within this context. On the other hand, uniqueness and stability results require a more careful analysis of the PDEs without imposing any a priori symmetries.

This research program first aims to bring together some of the most renowned world experts in geometric analysis, whose backgrounds range from the study of differential geometry with symmetries, to the analysis of nonlinear PDEs. We will thus foster an environment of research excellence, with plenty of collaboration time to enable effective work on many important problems. We will be lead in this endeavour by four keynote speakers, all of whom are experts across these two main areas, who will be presenting both introductory and advanced lectures.

A second aim is to promote the next generation of differential geometers in Australia. Approximately half of the participants being ECRs (including graduate students). In addition to benefiting from the aforementioned world-class research environment, these younger participants will be encouraged to present their own research in shorter talks, and to interact with the more established experts during the informal discussion sessions.

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: 2 February 2025

ASSOCIATED EVENTS
MATRIX Wine and Cheese Afternoon 4 February 2025
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.