Free Boundary Problems are ubiquitous in applications. Their mathematical treatment is a mainstay in applied mathematics and has inspired a large international community. This Thematic Program is designed to offer a platform for exchange and collaboration. Rhree workshops are planned, namely:
Workshop 1, Sept. 29 -Oct. 3, 2025: Regularity of free boundary problems;
Workshop 2, Nov. 10 - Nov. 14, 2025: Geometric variational problems;
Workshop 3, Dec. 9 - Dec.12, 2025: Free boundaries and growth.
In addition, we will series of lectures and seminars, including
Jose' A. Carrillo (Oxford): Global minimizers of interaction energies, 3h, Oct. 7 (14-15:30) and Oct. 9 (10-11:30), 2025.
Yoshihiro Tonegawa (Institute of Science Tokyo): Introduction to Brakke's mean curvature flow, 12h, Oct. 27 - Nov. 5, 2025. Link to the course website
Inwon Kim (UCLA): Interface motions and OT, 3h, Nov. 17 - Nov. 18, 2025
Joaquim Serra (ETH): Stable solutions to the Allen-Cahn equation with bounded energy density, 3h, Nov. 17 - Nov. 18, 2025.
Max Fathi (Paris): Quantitative regulairty for ransport maps, 6h, Nov. 20 - Nov. 21, 2025.
Please note that participation into the Thematic Programme is by invitation only.
Partial support is acknowledged from the SFB 65 Project Taming Complexity in Partial Differential Systems, financed through a grant by the Austrian Science Fund (FWF).
For schedule please see: