Workshop on Free Boundary Problems
to November 06, 2026
Venue: Centre de Recerca Matemàtica (CRM)
Room: Auditorium
DESCRIPTION
This Workshop is part of the Intensive Research Programme on Analysis of Free Boundary Problems
LECTURERS
Matthew Badger
University of Connecticut
Guy David
Université Paris-Saclay
John Hoffman
Florida State University
Inwon Kim
University of California – Los Angeles
Dennis Kriventsov
Rutgers University
Svitlana Mayboroda
ETH Zurich, University of Minnesota, IAS
Mihalis Mourgoglou
Ikerbasque, EHU
Robin Neumayer
Carnegie Mellon University
Anna Skorobogatova
Institute for Theoretical Studies / ETH Zurich
Parabolic Theory as a High-Dimensional Limit of Elliptic Theory
Marianna Smit Vega Garcia
Western Washington University
Abstract
Luca Spolaor
University of California – San Diego
Susanna Terracini
Università di Torino
Eduardo Teixeira
Oklahoma State University
Michele Villa
Ikerbasque, EHU
Michele Villa
Ikerbasque, EHU
Slow decay vs. fast decay around minimal cones
Kelei Wang
Wuhan University
Abstract
Hui Yu
National University of Singapore
scientific committee
Max Engelstein | University of Minnesota
Mariana Smit Vega Garcia | Western Washington University
Zihui Zhao | Johns Hopkins University
ORGANISING committee
Xavier Fernandez-Real | École polytechnique fédérale de Lausanne
Cole Jeznach | Universitat Autònoma de Barcelona
Xavier Ros Oton | ICREA – Universitat de Barcelona – Centre de Recerca Matemàtica
Xavier Tolsa | ICREA – Universitat Autònoma de Barcelona – Centre de Recerca Matemàtica
LIST OF PARTICIPANTS
| Name | Institution |
|---|
registration
Registration deadline:
CRM User Account Creation
After creating your CRM user account, you can log in on the activity webpage to complete your registration, or by clicking the button and then selecting ‘Sign in’.
REGISTER
INVOICE/PAYMENT INFORMATION
IF YOUR INSTITUTION COVERS YOUR REGISTRATION FEE: Please note that, in case your institution is paying for the registration via bank transfer, you will have to indicate your institution details and choose “Transfer” as the payment method at the end of the process.
UPF | UB | UPC | UAB
*If the paying institution is the UPF / UB/ UPC / UAB, after registering, please send an email to comptabilitat@crm.cat with your name and the institution internal reference number that we will need to issue the electronic invoice. Please, send us the Project code covering the registration if needed.
Paying by credit card
IF YOU PAY VIA CREDIT CARD but you need to provide the invoice to your institution to be reimbursed, please note that we will also need you to send an email to comptabilitat@crm.cat providing the internal reference number given by your institution and the code of the Project covering the registration (if necessary).
LODGING INFORMATION
ON-CAMPUS AND BELLATERRA
BARCELONA AND OFF-CAMPUS
 |
For inquiries about this event please contact the Scientific Events Coordinator Ms. Núria Hernández at nhernandez@crm.cat
|
CRM Events code of conduct
All activities organized by the CRM are required to comply with the following Code of Conduct.
CRM Code of Conduct
scam warning
We are aware of a number of current scams targeting participants at CRM activities concerning registration or accommodation bookings. If you are approached by a third party (eg travellerpoint.org, Conference Committee, Global Travel Experts or Royal Visit) asking for booking or payment details, please ignore them.
Please remember:
i) CRM never uses third parties to do our administration for events: messages will come directly from CRM staff
ii) CRM will never ask participants for credit card or bank details
iii) If you have any doubt about an email you receive please get in touch
Sustainable Events
We are committed to organising sustainable events that minimise environmental impact and create a positive legacy for the host community. We support organisers in designing events aligned with the UN 2030 Sustainable Development Goals, reducing negative environmental impacts and promoting responsible practices.
All materials provided during our activities are responsibly sourced, including recycled pens and plastic-free badges. We work with responsible suppliers, and our catering partners use fully compostable materials while offering vegetarian and vegan options, with at least one event day being fully vegetarian.
Since elliptic PDE theory can be seen as a steady-state version of parabolic PDE theory, if a parabolic estimate holds, then by eliminating the time parameter, one can obtain an underlying elliptic statement. Producing a parabolic statement from an elliptic statement, on the other hand, is not as straightforward. In this talk, we will discuss how a high-dimensional limiting technique can be used to prove theorems about solutions to the fractional heat equation from their elliptic counterparts. This is a joint work with Blair Davey.
In the study of the Bernstein problem, Bombieri-De Giorgi-Giusti established the existence of minimal foliations around the Simons cone. Later, Hardt-Simon identified a remarkable condition, the strictly minimizing condition, which determines the decay rate of smooth minimal hypersurfaces in this foliation as they approach the minimal cone, i.e. if it is a slow decay or fast decay. This condition proves highly useful in numerous other problems, such as the construction of entire minimal graphs. In this talk, I will first provide a review of this slow decay vs. fast decay issue, and then discuss similar phenomena in several other problems, including the Allen-Cahn equation and the Alt-Caffarelli one-phase free boundary problem.