Minimal surfaces and geometric flows: interaction between the local and the nonlocal worlds

Joy Lukman

  • 18 January 2021 - 29 January 2021
    8:00 am - 5:00 pm

Organisers:
Eleonora Cinti (Universita di Bologna)
Armin Schikorra (University of Pittsburgh)
Enrico Valdinoci (University of Western Australia)

Program Description:
The study of minimal surfaces, surfaces of constant mean curvature, curve-shortening flows, mean curvature flows, Gauss curvature flows, etc. are classical topics in the field of geometric analysis.Their understanding requires combined methods from mathematical analysis and differential geometry, and the results obtained have important applications in several directions, including phase transitions, moving fronts, free boundary problems, and mathematical biology.

As a counterpart, in the recent years there has been a surge of interest in the study of nonlocal minimal surfaces and nonlocal geometric flows. The notion of nonlocal perimeter has applications and connections with several fields, such as long-range phase coexistence models, spin models in statistical mechanics, geometric flows, image reconstruction and nonlocal capillarity models.

This event brings together experts in the study of classical and nonlocal geometric problems, to exchange their knowledge and techniques, and train PhD Students and Early Career Researchers with the objective of solving important and high impact research questions. Special interest is devoted to the study of classi cation and regularity results for classical and nonlocal minimal surfaces and existence and qualitative properties of solutions to classical and nonlocal geometric flows.

Program Structure: TBD

Registration:

  • Deadline: 18 November 2020
  • Registration is by invitation only

ASSOCIATED EVENTS
MATRIX Wine and Cheese Afternoon 19 January 2020
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.