Spectrum and Symmetry for Group Actions in Differential Geometry II

David Wood

  •  24 Jul 2023 - 4 Aug 2023
     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: 

For talk titles and abstracts, please click below:

For presentation notes, please click on the names below:
Vicente Cortes
Renato Bettiol
Ramiro Lafuente
Udo Hertrich-Jeromin
Tim Buttsworth 1 and Article
Tim Buttsworth 2 and Article
Franz Pedit 2 and Article
Artem Pulemotov
Fran Burstall and Notes
Thomas Leistner

Confirmed Participants: 
Emma Carberry (University of Sydney)
Michael Eastwood (University of Adelaide)
Joseph Wolf (University of California, Berkeley)
Romina Arroyo (Universidad Nacional de Córdoba)
Renato Bettiol (City University of New York)
Robert Bryant (Duke University)
Francis Burstall (University of Bath)
Vicente Cortes (Universitãt Hamburg)
Anna Fino (Università di Torino)
Lynn Heller (Bejing Institute of Mathematical Sciences and Applications)
Ramiro Lafuente (University of Queensland)
Thomas Leistner (University of Adelaide)
Craig Sutton (Dartmouth College)
Udo Hertrich-Jeromin (Technische Universitãt Wien)
Franz Pedit (University of Massachusetts Amherst)
Yuri Nikolayevsky (La Trobe University)
Artem Pulemotov (University of Queensland)
Federico Costanza (University of Adelaide)
Holger Dullin (University of Sydney)
Tim Buttsworth (University of Queensland)
Adam Thompson (University of Queensland)
John Rice (University of Adelaide)



MATRIX Wine and Cheese Afternoon 25 July 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.