MATRIX 2023 (Hyperbolic PDEs and Nonlinear Evolution Problems)

This September I organised another MATRIX program, together with Jesse Gell-Redman, Todd Oliynyk, Andrew Hassell, and Zoe Wyatt.

It was held at the Creswick Campus, a couple of hours outside of Melbourne, in rural Victoria, formerly the School of Forestry of the University of Melbourne. I’ve heard it described “like Oberwolfach in the 70s”.

The theme of the workshop was Hyperbolic PDEs and Nonlinear Evolution Problems, very broad mathematically speaking, but further subdivision would divide the Australian mathematical landscape into very small (single, really) cells.

The organisers have always seen this as a chance to bring together a mix of people, with backgrounds in microlocal and geometric analysis. This year we were happy to welcome to MATRIX:

• Yannis Angelopoulos (California Institute of Technology)
• Dean Baskin (Texas A&M University)
• Florian Beyer (University of Otago)
• Tim Candy (University of Otago)
• Kiril Datchev (Purdue University)
• Moritz Doll (University of Melbourne)
• Allen Fang (Princeton university)
• Gemma Hood (Imperial College London)
• Greg Fournodavlos (University of Crete)
• Qiuye Jia (Stanford University/Australia National University)
• Yilin Ma (Australian National University)
• Yue Ma (Xi’an Jiaotong University)
• Katrina Morgan (Temple University)
• Jacob Shapiro (University of Dayton)
• Ethan Sussman (Stanford University)
• Martin Taylor (Imperial College)
• Andras Vasy (Stanford University)
• Dongxiao Yu (University of Bonn)
• Sohrab Shahshahani (U. Massachusetts)

The program at a MATRIX workshop is always light, with emphasis on collaboration — existing or new — and discussion — stimulated by just two talks a day. We had talks on the microlocal analysis of wave and Klein-Gordon equations, in asymptotically flat, and Kerr de Sitter spacetimes; on topics in general relativity, in particular singularities in cosmological spacetimes; and geometric stability and evolution problems. A more detailed account of various contributions will appear in a forthcoming volume of MATRIX Annals.

This year’s meeting also featured footy match which may well be the beginning of a long tradition.