13–24 July 2020 postponed due to Covid-19
Venue: University of Melbourne, Creswick campus
Water Street, Creswick, Victoria, 3363, Australia
Isoperimetric comparisons may be used to uncover new properties of curved spaces, and to estimate eigenvalues of operators of physical significance. Isoperimetric estimates have an ancient history, comparing the area and perimeter of regions. Only recently have the complex geometric situations seen in nature begun to be understood. These include excitation energies in quantum mechanics, and the geometry of soap bubbles. The field brings together the theory of PDE, differential geometry and non-smooth metric geometry and has continued to produce novel and exciting mathematics since antiquity.
This program will gather together experts in such isoperimetric inequalities to progress this challenging, yet recently quite fruitful area. In particular it will facilitate communication between researchers working on different aspects of the field that may not yet be communicating with each other. For example, those researchers with expertise in PDE aspects may not be up to date on the latest results in RCD spaces and vice-versa.
For similar MATRI✗ workshops, consult this announcement.
MATRI✗ Wine and Cheese Afternoon: 14 July 2020.
On the first Tuesday of each program, MATRI✗ provides a pre-dinner wine and cheese afternoon. Produce is locally-sourced to showcase delicacies from the region.
- Paul Bryan (Macquarie Univ.)
- Julie Clutterbuck (Monash Univ.)
- Daniel Hauer (Univ. Sydney)
- Lei Ni (UC San Diego, USA)
- Guofang Wang (Univ. Freiburg, Germany)
- Guofang Wei (UC Santa Barbara, USA)