Spectrum and Symmetry for Group Actions in Differential Geometry

Joy Lukman

  • 16 May 2022 - 27 May 2022
    8:00 am - 5:00 pm

Emma Carberry (University of Sydney)
Michael Eastwood (University of Adelaide)
Carolyn Gordon (Dartmouth College)
Joseph Wolf (University of California, Berkeley)

Program Description: 
This research program will bring together differential geometers with a particular emphasis on symmetry. On the one hand, geometry gives rise to symmetry, for example as isometry groups, controlled by curvature and topology. Conversely, Lie groups can be used to construct examples of highly symmetrical geometries. We have in mind both classical Riemannian geometry with global invariants, especially the spectrum of the Laplacian and harmonic maps, but also other natural geometric structures including Lorentzian, Finsler, projective, parabolic, and CR geometry where there are many local classification results and problems concerning geometries with a high degree of symmetry. Many of these structures have strong links with physics, optimisation, control theory, and integrable systems. We will have a diverse group of participants, having in common a strong interest in symmetry.

Program Structure: TBD


  • Deadline: 16 March 2022
  • Registration is by invitation only. If you are interested to participate in this research program, please contact one of the organisers with your CV and research background.


MATRIX Wine and Cheese Afternoon 17 May 2022
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.