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CRM > English > Activities > Conference on Qualitative and geometric Aspects of Elliptic PDE's
Conference on Qualitative and geometric Aspects of Elliptic PDE's
This meeting is dedicated to the memory of Vicent Caselles

On August 15th 2013, Vicent Caselles passed away at the age of 53 in Barcelona.
Vicent, a great mathematician and a very good friend of some of us, was going to close this meeting.
We will miss him so much. He was a professor at the University Pompeu Fabra in Barcelona
and a worldwide leader in the field of Image Processing and Partial Differential Equations.
Among many other recognitions, in 2012 he got an Advanced Grant from the European Research Council. For the mathematical community his death is the loss of a great scientist and a very appreciated colleague.

Dates: September 2 to 6, 2013
Place: Centre de Recerca Matemàti​ca (Details)

Booklet new!


In the last decades a great interest has arisen in elliptic PDEs originating from geometric problems and, conversely, important geometric objects often reach a deeper comprehension through the analytical techniques developed in elliptic PDEs. One of the aims of the conference is to bring together experts from both fields. Another topic which has attracted attention and has seen important developements in the last years concerns nonlinear elliptic and parabolic PDEs with fractional diffusion.

Special emphasis will be put on:
  • Existence and symmetry properties of solutions to the Allen-Cahn and related equations, including free boundary problems
  • Minimal surfaces and isoperimetric inequalities
  • Fractional diffusion and front propagation

List of speakers​
Vicent Caselles (Universitat Pompeu Fabra)
Manuel del Pino (Universidad de Chile, Santiago, Chile)
Alberto Farina (Université de Picardie Jules Verne, Amiens, France)
Alessio Figalli (The University of Texas, Austin, USA)
François Hamel (IUF, Marseille, France)
Nikola Kamburov (The University of Arizona, Tucson, USA)
Moritz Kassmann (Universität Bielefeld, Germany)
Enno Lenzmann (University of Copenhagen, Denmark)​
Chang-Shou Lin (National Taiwan University, Taipei, Taiwan)
Carlo Mantegazza (Scuola Normale Superiore di Pisa, Italy)​
Robert McCann (University of Toronto Bahen Centre, Toronto, Canada)
Frank Morgan (Williams College, Massachusetts, USA)
Nikolai Nadirashvili (CNRS et Université d'Aix-Marseille, France)
Frank Pacard (École Polytechnique and Université Paris Est-Créteil, Paris, France)
Ireneo Peral (Universidad Autónoma de Madrid, Spain)
Joaquin Pérez (Universidad de Granada, Spain)
Aldo Pratelli (Universität Erlangen-Nürnberg, Germany)
Jean-Michel Roquejoffre (Université Paul Sabatier, Toulouse, France)
Antonio Ros (Universidad de Granada, Spain)
Bernardino Sciunzi (Università della Calabria, Cosenza, Italy)
Gabriella Tarantello (Università Tor Vergata, Rome, Italy)
Juan Luis Vázquez (Universidad Autónoma de Madrid, Spain)
Jun-Cheng Wei (Chinese University of Hong Kong, Shatin, China)​

One-dimensional symmetry for entire solutions of an elliptic system arising in phase separation by Alberto Farina (Link)
The theory of fractional heat and porous medium equations by Juan Luis Vazquez (Link)
The role of singular Liouville systems in the study of non-abelian Chern-Simons vortices by Gabriela Tarantello (Link)
Some inequalities for the fractional laplacian: elliptic and parabolic equations by Ireneo Peral (Link)
On the exact number of solutions of Chern-Simons-Higgs equation with double vortices by Chang-Shou Lin (Link)
The Log-Convex Density Conjecture by Frank Morgan (Link)
Partial regularity for Monge-Ampère type equations by Alessio Figalli (Link)
​Organising and Scientific Committee

Xavier Cabré (ICREA and Universitat Politècnica de Catalunya)
Daniele Castorina (Università degli Studi di Roma "Tor Vergata")
Manel Sanchón (Universitat de Barcelona)
Enrico Valdinoci (Università di Milano and Weierstrass Institute for Applied Analysis and Stochastics, Berlin)

Registration includes: attendance to the lectures, documentation package, lunch tickets, social dinner, cultural activity, and coffee breaks.

Registration fee: 250 €

Deadline for registration and payment: August 21st, 2013

IMPORTANT: To register click on one of the baskets at the beginning or at the end of the page. Everybody should register as a Senior participant.

Registered participants will have the opportunity to present their mathematical work in the form of a poster.
Decisions regarding the acceptance of posters will be made by the Organising and Scientific Committee on the basis of an abstract of the poster.

Please send your abstract to Ms. Nuria Hernandez (​.

Abstracts submitted after June 30, 2013, will not be considered.​

Participants are encouraged to book their lodging as soon as possible. A special price is available for those participants who stay either at the Vila Universitària 2 or at Hotel Campus.

Vila Universitària 2

In case you want to make a reservation at Vila please send a message to Ms. Marta Roig ( Please be sure to mention the reference "CRM Activity" when making your reservation.

The following services are included:
  • Weekly Cleaning service.
  • Water and electricity expenses included in the price.
  • Wire internet connection.
  • Bed and towels equipment.
  • Adapted television to the TDT.
  • Free entrance to SAF (sport facilities)
You can visit the Vila web page at the address: The address is Vila Universitària, Campus Universitat Autònoma de Barcelona. 08193 Bellaterra. You can check how to get there using the local map of the CRM webpage (link).

Vila Universitària 2 is right on the campus and the closest train station is Bellaterra train station at the FCG train line.

Hotel Campus

In case you want to make a reservation at Hotel Campus please send a message to Please be sure to mention the reference "CRM Activity" when making your reservation.​
Further information

If you have any questions please contact:

Ms. Núria Hernandez
Activities Coordinator