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 (Univesity of Bath)
Costante Bellettini (University College London)
Luca Benatti (Università di Pisa)
Giulia Bevilacqua (Università di Pisa)
Matteo Carducci (Scuola Normale Superiore - Pisa)
Donatella Danielli (Arizona State University)
Luigi De Masi (Università di Padova)
Guido De Philippis (Courant Institute - NYU)
Antonio De Rosa (University of Maryland)
Nick Edelen (University of Notre Dame)
Max Engelstein (University of Minnesota)
Xavier Fernández-Real (EPFL - Lausanne)
Lorenzo Ferreri (Scuola Normale Superiore - Pisa)
Gabriele Fioravanti (Università di Torino)
Ian Flescher (Princeton)
Federico Franceschini (ETH Zürich)
Nicola Garofalo (Università di Padova)
Carlo Gasparetto (Università di Pisa)
Jonas Hirsch (Universität Leipzig)
Francesco Maggi (UT Austin)
Christos Mantoulidis (Rice University)
Andrea Marchese (Università di Trento)
Kobe Marshall Stevens (University College London)
Annalisa Massaccesi (Università di Padova)
Dario Mazzoleni (Università di Pavia)
Alexis Michelat (EPFL)
Paul Minter (Princeton)
Robin Neumayer (Carnegie Mellon University)
Roberto Ognibene (Università di Pisa)
Davide Parise (University of California San Diego)
Alessandro Pigati (Bocconi)
Alessandra Pluda (Università di Pisa)
Tristan Rivière (ETH Zürich)
Emanuele Salato (Università di Torino)
Lorenzo Sarnataro (Princeton)
Yannick Sire (Johns Hopkins University)
Anna Skorobogatova (Princeton University)
Mariana Smit Vega Garcia (Western Washington University)
Antoine Song (California Institute of Technology)
Luca Spolaor (University of California San Diego)
Simone Steinbrüchel (Universität Leipzig)
Salvatore Stuvard (Università di Milano)
Susanna Terracini (Università di Torino)
Riccardo Tione (MPI Leipzig)
Giorgio Tortone (Università di Pisa)
Bozhidar Velichkov (Università di Pisa)
Gianmaria Verzini (Politecnico di Milano)
Stefano Vita (Università di Torino)
Hui Yu (National University of Singapore)
Zihui Zhao (Johns Hopkins University)
Schedule
Monday 19 June
09:00-09:50 Susanna Terracini
Boundary Harnack principles and degenerate equations on singular sets
10:10-11:00 Hui Yu
Compact contact sets in the thin obstacle problem
11:40-12:30 Andrea Marchese
On the closability of differential operators
15:00-15:50 Giorgio Tortone
On the regularity of the optimal shapes for a class of integral functionals
16:10-17:00 Mariana Smit Vega Garcia
Almost minimizers of a lower-dimensional free boundary problem
Tuesday 20 June
09:00-09:50 Tristan Rivière
Area variations under lagrangian and legendrian constraints
10:10-11:00 Costante Bellettini
Hypersurfaces with mean curvature prescribed by an ambient function
11:40-12:30 Salvatore Stuvard
Existence and regularity of Brakke flows: new advances and open questions
15:00-15:50 Anna Skorobogatova
Higher codimension area-minimizers: rectifiability of singularities and Hm-2-a.e. uniqueness of tangent cones
16:10-17:00 Alessandro Pigati
Nondegenerate minimal submanifolds as energy concentration sets
Wednesday 21 June
09:00-09:50 Donatella Danielli
Obstacle problems for fractional powers of the Laplacian
10:10-11:00 Max Engelstein
On global graphical solutions to free boundary problems
11:40-12:30 Gianmaria Verzini
Stationary and rotating spirals in segregated reaction-diffusion systems
Thursday 22 June
09:00-09:50 Jonas Hirsch
Interior regularity for two-dimensional stationary Q-valued maps
10:10-11:00 Christos Mantoulidis
Generic regularity of minimizing hypersurfaces in dimensions 9 and 10
11:40-12:30 Antoine Song
Hyperbolic groups and spherical minimal varieties
15:00-15:50 Robin Neumayer
Local minimizers of the anisotropic isoperimetric problem on closed manifolds
16:10-17:00 Riccardo Tione
Non-Classical solutions to the p-Laplace equation
Friday 23 June
09:00-09:50 Francesco Maggi
Some theorems on diffused interefaces
10:10-11:00 Zihui Zhao
Counter-example in boundary unique continuations
11:40-12:30 Yannick Sire
Geometric structure for nodal sets of solutions to degenerate and singular equations
