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New Frontiers in Homogenization and Fractional Calculus

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Advanced course / School
From March 24, 2025
to March 25, 2025

Venue: CRM Auditorium

*Free registration but mandatory through SIGN IN

Registration deadline 16 / 03 / 2025

Introduction

This event is organized to celebrate the 50th anniversary of the mathematical technique known as Γ-convergence, introduced by Ennio De Giorgi and Tullio Franzoni in 1975.

 

Originally developed for applied purposes, this technique remains a fundamental tool in the study of various scientific applications, such as homogenization, phase transitions, and the asymptotic analysis of partial differential equations. At the same time, there has been a growing interest within the scientific community in the study of nonlocal problems, which are primarily recognized for their probabilistic significance. In addition to representing a particularly challenging area of mathematics, these problems have become increasingly relevant in material science applications.

 

Proposals from both speakers and the audience are extremely welcome.

 

Organising Committee

Alberto Maione | Centre de Recerca Matemàtica
Joaquim Duran | Centre de Recerca Matemàtica

Scientific Committee

Xavier Cabré | ICREA Research Professor, Universitat Politècnica de Catalunya

SPEAKERS

Andrea Braides

University of Rome

Fractional singular perturbations of non-convex variational problems

Personal Website

Maicol Caponi

University of L'Aquila

A fractional approach to strain-gradient plasticity: beyond core-radius of discrete dislocations

Personal Website

Alessandro Carbotti

University of Salento

H-compactness for nonlocal linear operators in fractional divergence form 

Personal Website

Patrick Dondl

University of Freiburg

A sinc-function based numerical method for the Dirichlet problem with fractional Laplacian

Personal Website

Alex Ferrer

Universitat Politècnica de Catalunya

Dehomogenization in stress minimization problems

Personal Website

Carolin Kreisbeck

Katholische Universität Eichstätt-Ingolstadt

Nonlocal gradients in variational problems: Heterogeneous horizons and local boundary conditions

Personal Website

Fabio Paronetto

University of Padova

Existence and G-convergence results for forward-backward parabolic equations

Personal Website

Xavier Ros-Oton

ICREA Research Professor | Universitat de Barcelona | Centre de Recerca Matemàtica

Regularity for the Boltzmann equation via nonlocal operators

Personal Website

Simone Verzellesi

University of Padova

Variational properties of local functionals driven by arbitrary Lipschitz continuos vector fields

Personal Website

SCHEDULE

Monday

24th March, 2025

Tuesday

25th March, 2025

09:00 - 09:30

Registration and institutional greetings

09:30 - 10:30

Prof. Dr. Andrea Briades

09:30 - 10:30

Prof. Dr. Xavier Ros-Oton

10:30 - 11:30

Coffee Break

10:30 - 11:30

Group Photo + Coffee break

11:30 - 12:30

Prof.  Dr. Patrick Dondl

11:30 - 12:30

Prof. Dr. Carolin Kreisbeck

13:00 - 14:00

Break for Lunch (not included)

13:00 - 14:00

Break for Lunch (not included)

14:30 - 15:30

Prof. Dr. Alex Ferrer

14:30 - 15:30

Prof. Dr. Fabio Paronetto

15:30 - 16:15

Coffee break

15:30 - 16:15

Coffee break

16:15 - 17:15

Dr. Maicol Caponi

16:15 - 17:15

Dr. Alessandro Carbotti

17:15 - 18:15

Dr. Simone Verzellesi

Final greetings

LIST OF PARTICIPANTS

Name Institution
Andrea Causin University of Sassari
Margherita Solci University of Sassari
Yuanxi He Universitat de Barcelona
Joan Domingo Pasarin Universitat de Barcelona
Joan Hernández García Universitat Autònoma de Barcelona
Salim Boukfal Lazaar Universitat Autònoma de Barcelona
Juan Carlos Cantero Universitat Autònoma de Barcelona
Joaquim Duran i Lamiel Centre de Recerca Matemàtica
Alberto Maione Centre de Recerca Matemàtica
Alessandro Carbotti University of Salento
Fabio Paronetto University of Padua
Maicol Caponi University of L'Aquila
Clara Torres Latorre Universitat de Barcelona
Simone Verzellesi University of Padua
Andrea Braides University of Rome Tor Vergata
Maties Francesc Alcover Borràs Universitat de Les Illes Balears
Ludwig Striet Albert Ludwig University of Freiburg
Bartomeu Garau Verger Universitat de Les Illes Balears
Carolin Kreisbeck KU Eichstätt-Ingolstadt
Manuel de la Rosa Fernández Universidad Nacional de Educación a Distancia
Fatemeh keivani Aalto University
Patrick Dondl Albert Ludwig University of Freiburg
Marvin Weidner Universitat de Barcelona
Tomás Sanz Perela Universitat de Barcelona
Enej Istenic University of Ljubljana
Enric Alberola Boloix Basque Center for Applied Mathematics
Niyaz Tokmagambetov Centre de Recerca Matemàtica
A Kolpakov SusAn
Guillermo García Sáez Universidad de Castilla La Mancha
Yuanlin Sun Jilin University
Davide Donati International School for Advanced Studies
Chiara Trifone International School for Advanced Studies
Alejandro Martínez Sánchez Universitat de Barcelona
Miquel Saucedo Centre de Recerca Matemàtica
Giuseppe Cosma Brusca International School for Advanced Studies
Xavier Ros Oton Universitat de Barcelona
Alex Ferrer CIMNE
Ricard Kirchner Universitat Politècnica de Catalunya
Gerard Codina Universitat Politècnica de Catalunya

ACKNOWLEDGEMENTS

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​​

 

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