Workshop


Regularity Theory for Free Boundary and Geometric
Variational Problems


Levico Terme, 5-10 September 2021


Support


Centro Internazionale di Ricerca Matematica -- Fondazione Bruno Kessler



ERC VaReg (European Union - Horizon 2020)


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 questions related to the formation and the structure of singularities. 


Participants

Susanna Terracini (Università di Torino)

Yannick Sire (Johns Hopkins University)

Alessio Figalli* (ETH Zürich)

Dorin Bucur (Université de Savoie)

Felix Schulze (University of Warwick)

Matteo Focardi (Università di Firenze)

Jonas Hirsch (Universität Leipzig)

Andrea Mondino (University of Oxford)

Annalisa Massaccesi (Università di Padova)

Andrea Marchese (Università di Trento)

Neshan Wickramasekera* (University of Cambridge)

Salvatore Stuvard (University of Texas at Austin)

Cristiana De Filippis* (Università di Torino)

Connor Mooney (UC Irvine)

Hui Yu (Columbia University)

Antonio De Rosa (University of Maryland)

Nicola Soave (Politecnico di Milano)

Stefano Vita (Università di Milano-Bicocca)

Dario Mazzoleni (Università di Pavia)

Xavier Ros-Oton* (Universitat de Barcelona)

Zihui Zhou (University of Chicago)

Serena Guarino Lo Bianco* (University of Naples)

Domenico Angelo La Manna (University of Jyväskylä)

Ekaterina Mukoseeva (University of Helsinki)

Xavier Fernandez-Real (EPFL - Lausanne)

Giorgio Tortone (Università di Pisa)

Mickael Nahon (Université de Savoie)

Simone Steinbruechel (Universität Zürich)

Francesco Paolo Maiale (Scuola Normale Superiore)

Nicolò Forcillo (Unversità di Bologna)

Alessandro Audrito (ETH Zürich)

Joseph Feneuil (Università di Pisa)


* = remote participation


Organizers: Luca Spolaor and Bozhidar Velichkov

Contacts: bozhidar.velichkov[at]unipi.it and lspolaor[at]ucsd.edu