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)
Marco Badran (ETH Zürich)
Susanna Bertolini (ETH Zürich)
Giulia Bevilacqua (Università Ca' Foscari Venezia)
Matteo Carducci (Scuola Normale Superiore - Pisa)
Nuno Carneiro (Università di Pisa)
Giacomo Colombo (ETH Zürich)
Roberto Colombo (EPFL)
Blair Davey (Montana State University)
William Feldman (Utah University)
Leonardo Felicetti (Scuola Normale Superiore - Pisa)
Lorenzo Ferreri (Scuola Normale Superiore - Pisa)
Gabriele Fioravanti (Università di Torino)
Benjy Firester (MIT)
Enric Florit-Simon (ETH Zürich)
Federico Franceschini (Stanford University)
Pablo Hidalgo-Palencia (Universitat de Barcelona)
Jonas Hirsch (Universität Leipzig)
Dennis Kriventsov (Rutgers University)
Federico Lai (Università di Pisa)
Dario Mazzoleni (Università di Pavia)
Paul Minter (University of Cambridge)
Riccardo Moraschi (Università di Pavia)
Mickaël Nahon (Université Grenoble Alpes)
Roberto Ognibene (Università di Milano-Bicocca)
Filippo Paiano (Università di Pisa)
Maria Antonietta Palladino (Scuola Normale Superiore - Pisa)
Davide Parise (Imperial College London)
Reinaldo Resende (Carnegie Mellon University)
Andrea Rocca (Università di Pisa)
Alessandro Scapin (Università di Milano)
Wenhui Shi (RWTH Aachen)
Giovanni Siclari (Scuola Normale Superiore - Pisa)
Emanuele Spadaro (Università di Roma La Sapienza)
Salvatore Stuvard (Università di Milano)
Matteo Talluri (Università di Bologna)
Raphael Tsiamis (Columbia University)
Susanna Terracini (Università di Torino)
Bozhidar Velichkov (Università di Pisa)
Gianmaria Verzini (Politecnico di Milano)
Giacomo Vianello (UTIA - Czech Academy of Sciences)
Stefano Vita (Università di Pavia)
Marvin Weidner (University of Bonn)
Hui Yu (National University of Singapore)
Schedule
Monday 15 June
09:00-09:50 Emanuele Spadaro
A quantitative Alexandrov inequality with applications to geometric flows in 3D
10:00-10:50 Benjy Firester
Regularity theory for capillary surfaces
11:30-12:20 Matteo Carducci
Uniqueness of the blow-up for some Alt-Phillips cones
15:00-15:50 Salvatore Stuvard
Ilmanen’s elliptic regularization scheme for anisotropic mean curvature flows
16:00-16:50 Marco Badran
Allen–Cahn solutions from the Plateau problem
Tuesday 16 June
09:00-09:50 Susanna Terracini
TBA
10:00-10:50 Paul Minter
Area minimising hypersurfaces mod p do not admit immersed branch points
11:30-12:20 Raphael Tsiamis
Mean curvature flows with prescribed singular sets
15:00-15:50 Hui Yu
Generic regularity of the free boundary in the Alt-Caffarelli-Phillips problem
16:00-16:50 Giacomo Vianello
A boundary monotonicity formula for almost-minimizers of the relative perimeter in nonsmooth domains
Wednesday 17 June
09:00-09:50 Blair Davey
Fractional parabolic theory as a high-dimensional limit of fractional elliptic theory
10:00-10:50 Mickaël Nahon
Regularity for a higher order Alt-Caffarelli problem
11:30-12:20 Enric Florit-Simon
Regularity for stable phase transitions
Thursday 18 June
09:00-09:50 Wenhui Shi
Optimal regularity for the variable coefficients parabolic Signorini problem
10:00-10:50 Davide Parise
Generic regularity of isoperimetric regions in dimension 8
11:30-12:20 William Feldman
The pinning effect of dilute defects
15:00-15:50 Dennis Kriventsov
Non-minimizing and min-max solutions to Bernoulli problems
16:00-16:50 Filippo Paiano
On the energy structure of the Stefan problem
Friday 19 June
09:00-09:50 Jonas Hirsch
Nonunique tangent maps at isolated singularities of minimizing p-harmonic maps
10:00-10:50 Reinaldo Resende
Rigidity theorems for critical points of capillary energies
11:30-12:20 Stefano Vita
Local regularity for anisotropic magnetic operators with general codimension singularities
