Description
This workshop is dedicated to the recent advances in the theories of
Free Boundary Problems and Minimal Surfaces
which include problems and combine tools from different fields as for instance
PDEs, Calculus of Variations and Geometric Analysis.
The main topic is the regularity and the fine structure of geometric objects
(free boundaries, minimal surfaces, free interfaces)
obtained trough the minimization of variational functionals. The description of the local structure of these minima is a common objective
for both the fields of Free Boundary Problems and Minimal Surfaces and the techniques developed in this context have found application
to problems from different areas.
The workshop brings together young researchers and leading experts in these fields, the focus being on
the recent important breakthroughs in the regularity of the free boundaries
and minimal surfaces, in particular, on the formation and the structure of singularities.
Participants
Costante Bellettini (University College London)
Luca Benatti (Università di Pisa)
Giulia Bevilacqua (Università di Pisa)
Matteo Carducci (Scuola Nuormale Superiore - Pisa)
Giulio Ciraolo (Università di Milano)
Stefano Decio (University of Minnesota)
Camillo De Lellis (IAS Princeton)
Luigi De Masi (Università di Padova)
Antonio De Rosa (Bocconi University)
Serena Dipierro (University of Western Australia)
Nick Edelen (University of Notre Dame)
Xavier Fernández-Real (EPFL - Lausanne)
Lorenzo Ferreri (Scuola Nuormale Superiore - Pisa)
Federico Franceschini (ETH Zurich)
Giada Franz (Massachusetts Institute of Technology)
Carlo Gasparetto (Università di Pisa)
Jonas Hirsch (Universität Leipzig)
Minyoung Jeong (University of California San Diego)
Dennis Kriventsov (Rutgers University)
Annalisa Massaccesi (Università di Padova)
Dario Mazzoleni (Università di Pavia)
Paul Minter (Princeton)
Roberto Ognibene (Università di Pisa)
Filippo Paiano (Università di Pisa)
Davide Parise (University of California San Diego)
Lorenzo Sarnataro (Princeton)
Richard Schoen (UC Irvine)
Felix Schulze (University of Warwick)
Anna Skorobogatova (Princeton)
Mariana Smit Vega Garcia (Western Washington University)
Nicola Soave (Università di Torino)
Luca Spolaor (University of California San Diego)
Simone Steinbrüchel (Universität Leipzig)
Salvatore Stuvard (Università di Milano)
Kiichi Tashiro (Tokyo Institute of Technology)
Riccardo Tione (MPI Leipzig)
Yoshihiro Tonegawa (Tokyo Institute of Technology)
Giorgio Tortone (Università di Pisa)
Enrico Valdinoci (University of Western Australia)
Daniele Valtorta (Università di Milano Bicocca)
Bozhidar Velichkov (Università di Pisa)
Gianmaria Verzini (Politecnico di Milano)
Stefano Vita (Università di Torino)
Yuanfan Wang (University of California San Diego)
Zihui Zhao (Johns Hopkins University)
Schedule
Monday 24 June
09:00-09:50 Camillo De Lellis
An elementary lemma in geometric measure theory
10:00-10:50 Giulio Ciraolo
Quantitative stability results via the method of moving planes
11:30-12:20 Felix Schulze
Mean Curvature Flow from conical singularities
15:00-15:50 Giulia Bevilacqua
Classical solutions for a soap film capillarity problem
16:10-17:00 Roberto Ognibene
Regularity of domain walls in optimal partition problems
Tuesday 25 June
09:00-09:50 Richard Schoen
Remarks on stable surfaces in higher codimension
10:00-10:50 Yoshihiro Tonegawa
Brakke flow with a forcing term
11:30-12:20 Daniele Valtorta
Energy Identity for Stationary Harmonic Maps
15:00-15:50 Giada Franz
Topological control for min-max free boundary minimal surfaces
16:10-17:00 Paul Minter
Uniqueness of regular tangent cones
for immersed stable minimal hypersurfaces
Wednesday 26 June
09:00-09:50 Enrico Valdinoci
Sheet happens (but only as the root of 1-s)
10:00-10:50 Nicola Soave
Singularly perturbed elliptic systems modeling
partial separation and their free boundaries
11:40-12:30 Xavier Fernández-Real
On the one-phase problem
Thursday 27 June
09:00-09:50 Serena Dipierro
A strict maximum principle for nonlocal minimal surfaces
10:00-10:50 Antonio De Rosa
Surfaces with prescribed Gaussian images
and applications to anisotropic minimal surfaces
11:30-12:20 Jonas Hirsch
On the Lawson-Osserman conjecture on the minimal surfaces system
15:00-15:50 Davide Parise
Boundary behavior of the Allen-Cahn equation:
free boundary integral varifolds, and stable curvature estimates
16:10-17:00 Dennis Kriventsov
Stationary solutions to the Bernoulli free boundary problem
Friday 28 June
09:00-09:50 Annalisa Massaccesi
Recent developments on Besicovitch's 1/2 problem
10:00-10:50 Nick Edelen
Regularity results for minimal capillary hypersurfaces
11:30-12:20 Costante Bellettini
PDE analysis on stable minimal hypersurfaces: curvature estimates and sheeting
