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
Alessandro Audrito (Politecnico di Torino)
Costante Bellettini (University College London)
Giulia Bevilacqua (Università di Pisa)
Dorin Bucur (Université de Savoie)
Matteo Carducci (Scuola Normale Superiore - Pisa)
Roberto Colombo (EPFL)
Paolo De Donato (Unversità di Roma - La Sapienza)
Cristiana De Filippis (Università di Parma)
Antonio De Rosa (Bocconi University)
William Feldman (Utah University)
Lorenzo Ferreri (Scuola Normale Superiore - Pisa)
Gabriele Fioravanti (Università di Torino)
Federico Franceschini (IAS Princeton)
André Guerra (University of Cambridge)
Jonas Hirsch (Universität Leipzig)
Minyoung Jeong (University of California San Diego)
Daniel Ketover (Rutgers University)
Sunghan Kim (Uppsala University)
Dennis Kriventsov (Rutgers University)
Federico Lai (Università di Pisa)
Dario Mazzoleni (Università di Pavia)
Riccardo Moraschi (Università di Pavia)
Michael Novack (Louisiana State University)
Roberto Ognibene (Università di Milano-Bicocca)
Filippo Paiano (Università di Pisa)
Maria Antonietta Palladino (Scuola Normale Superiore - Pisa)
Davide Parise (University of California San Diego)
Daniel Restrepo (Johns Hopkins University)
Andrea Rocca (Università di Pisa)
Xavier Ros-Oton (Universitat de Barcelona)
Giovanni Siclari (Scuola Normale Superiore - Pisa)
Anna Skorobogatova (ETH Zürich)
Mariana Smit Vega Garcia (Western Washington University)
Nicola Soave (Università di Torino)
Luca Spolaor (University of California San Diego)
Salvatore Stuvard (Università di Milano)
Riccardo Tione (Università di Torino)
Xavier Tolsa (Universitat Autonoma de Barcelona)
Yoshihiro Tonegawa (Tokyo Institute of Technology)
Clara Torres-Latorre (ICMAT)
Giorgio Tortone (Università di Torino)
Bozhidar Velichkov (Università di Pisa)
Gianmaria Verzini (Politecnico di Milano)
Stefano Vita (Università di Pavia)
Yuanfan Wang (University of California San Diego)
Marvin Weidner (Universitat de Barcelona)
Georg Weiss (University of Duisburg-Essen)
Hui Yu (National University of Singapore)
Konstantinos Zemas (Hausdorff Center - Bonn)
Zihui Zhao (Johns Hopkins University)
Jonathan Zhu (University of Washington)
Schedule
Tuesday 3 June
09:00-09:50 Georg Weiss
A mountain pass approach to the existence of gravity water waves
10:00-10:50 Cristiana De Filippis
μ-ellipticity and nonautonomous integrals
11:30-12:20 Xavier Ros-Oton
Boundary regularity for kinetic equations
15:00-15:50 Lorenzo Ferreri
On the boundary branching set of the one-phase problem
16:10-17:00 André Guerra
Harmonic maps and the vectorial obstacle problem
Wednesday 4 June
09:00-09:50 Xavier Tolsa
The two-phase problem for harmonic measure in VMO and a related counterexample
10:00-10:50 Mariana Smit Vega Garcia
Fractional parabolic theory as a high-dimensional limit of fractional elliptic theory
11:30-12:20 Jonathan Zhu
Capillary minimal surfaces in spherical caps
14:00-14:50 Sunghan Kim
Energy minimizing maps under thin constraints
15:00-15:50 Daniel Ketover
The Smale conjecture for RP3 and minimal surfaces
16:10-17:00 Clara Torres-Latorre
The free boundary in the Stefan problem
Thursday 5 June
09:00-09:50 Dorin Bucur
Spectral optimization problems with Neumann boundary conditions
10:00-10:50 William Feldman
One- and two-phase minimizing free boundaries in heterogeneous media
11:30-12:20 Federico Franceschini
Solutions to the thin obstacle problem with non-2D frequency
Friday 6 June
09:00-09:50 Hui Yu
Minimizing cones in the Alt-Caffarelli-Phillips problem
10:00-10:50 Michael Novack
Plateau's problem for soap films with positive volume: new directions
11:30-12:20 Dennis Kriventsov
Parabolic free transmission problems
15:00-15:50 Marvin Weidner
Regularity for the nonlocal one-phase problem
16:10-17:00 Anna Skorobogatova
Fine structure of two-dimensional mod(q) area-minimizing hypersurfaces near branch points
Saturday 7 June
09:00-09:50 Yoshihiro Tonegawa
The epsilon-regularity theorem for Brakke flows near triple junctions
10:00-10:50 Dario Mazzoleni
Free boundary regularity for a spectral optimal partition problem
with volume and inclusion constraints
