Select Page

JISD 2024

Sign in
Advanced course / School
From July 08, 2024
to July 12, 2024

200€ General registration (granted participants will receive the resolution by May 24 and will be asked to pay 75€)
0€ CRM members / Affiliated / Lecturers

Registration deadline 23 / 06 / 2024

LECTURERS

SCHEDULE

POSTER SESSION & GRANTS

Introduction
The School on Interactions between Dynamical Systems and Partial Differential Equations (JISD) is an international summer school that has taken place at the School of Mathematics and Statistics of the Universitat Politècnica de Catalunya (UPC) since 2002. The last four editions have been held at the Centre de Recerca Matemàtica (CRM).
 
The JISD is an annual meeting between experts and young researchers in Dynamical Systems and Partial Differential Equations (PDEs). It is designed to encourage and enhance the exchange of knowledge and methods, with the goal of advancing the study of cutting-edge problems in the aforesaid fields of mathematics and with the aim of fostering interaction among the participants. The symposium is aimed at local researchers, as well as scientists from the rest of Spain and foreign countries. It is organized into four advanced courses of about 7 hours and complemented by a poster session by young researchers. Throughout the latest editions, the attendance numbers have ranged between 60 and 100 participants, mostly internationals.
 
A primary objective of the JISD is to attract talented young researchers who can present a poster to put them in a condition to benefit from exposure to world-leading experts and help them establish working relationships that could prove critical for their short and long-term success. An especially strong effort has been devoted in past years to encourage the participation of undergraduates, PhDs and postdocs from developing countries and, more generally, young researchers who may encounter difficulties in accessing adequate financial support.

JISD PAST EDITIONS

lecturers

Marie-Claude Arnaud: Conformal Dynamics

Université Paris Cité

Abstract: Beyond Hamiltonian and symplectic Dynamics, the conformal dynamics study dynamics that multiply a local symplectic form by a factor that is different from 1. This includes for example Hamiltonian systems with friction term. Even if some tools coming from conservative and symplectic dynamics can be used in this setting, some dissipative phenomena appear in is this setting, as attractors. In this course, we will study the conformal dynamics of both classical symplectic manifolds and their extensions, the locally symplectic manifolds. In particular, in the symplectic setting, we introduce and study the natural generalization of Birkhoff attractor in higher dimension. In the locally symplectic setting, we will explain which relation exists between recurrence properties, shape of the orbits and exponential rate of the linearized dynamics (as Lyapunov exponents).

WEBSITE

Giovanni Catino: Stable Minimal Hypersurfaces

Politecnico di Milano

Abstract: I will present an overview on the classification problem for stable minimal hypersurfaces in the Euclidean space, starting from the seminal work of Schoen-Simon-Yau in the 70’s to the recent advancements obtained by O. Chodosh and C. Li and by myself in collaboration with P. Mastrolia and A. Roncoroni.

WEBSITE

Xavier Ros-Oton: Integro-Differential Elliptic Equations

ICREA – Universitat de Barcelona – Centre de Recerca Matemàtica

Abstract: The aim of this course is to provide an introduction to the regularity theory for integrodifferential elliptic equations. Such a class of equations often arises in Analysis, Probability theory, Mathematical Physics, and in several contexts in applied sciences, and this area of research has attracted great interest in the PDE community in the last 15 years, especially since the first works of Caffarelli and Silvestre on the topic. We will start with the basic theory for linear equations, to then give an overview and prove some results for nonlinear equations, and finally discuss some open problems in this context.

WEBSITE

Dmitry Turaev: Wildness and Richness of Chaos

Imperial College London

Abstract: We show how various global and local bifurcations lead to chaos of ultimate richness: one determines, by a simple computation, the effective dimension D of the bifurcational problem (an a priori bound on the number of zero Lyapunov exponents) and then shows that all dynamics possible for all systems in the D-dimensional space can emerge at this bifurcation. The techniques can be applied for constructing deep learning algorithms.

WEBSITE

schedule

MONDAY

July 8th

TUESDAY

July 9th

WEDNESDAY

July 10th

THURSDAY

July 11th

FRIDAY

July 12th

9:30

10:00

WELCOME

Wildness and Richness of Chaos

-

Dmitry Turaev

Imperial College London

Stable Minimal Hypersurfaces

-

Giovanni Catino

Politecnico di Milano

Conformal Dynamics

-

Marie-Claude Arnaud

Université Paris Cité

Integro-Differential Elliptic Equations

-

Xavier Ros-Oton

ICREA – Universitat de Barcelona – Centre de Recerca Matemàtica

10:00

11:00


Integro-Differential Elliptic Equations

-

Xavier Ros-Oton

ICREA – Universitat de Barcelona – Centre de Recerca Matemàtica

11:00

11:30

COFFEE BREAK

11:30

13:00

Wildness and Richness of Chaos

-

Dmitry Turaev

Imperial College London

Integro-Differential Elliptic Equations

-

Xavier Ros-Oton

ICREA – Universitat de Barcelona – Centre de Recerca Matemàtica

Conformal Dynamics

-

Marie-Claude Arnaud

Université Paris Cité

Stable Minimal Hypersurfaces

-

Giovanni Catino

Politecnico di Milano

11:30 - 12:30

-

Conformal Dynamics

-

Marie-Claude Arnaud

Université Paris Cité

13:00

15:00

LUNCH

12:45 - 13:45

-

Wildness and Richness of Chaos

-

Dmitry Turaev

Imperial College London

13:45 - 15:45

LUNCH

15:00

16:00

Stable Minimal Hypersurfaces

-

Giovanni Catino

Politecnico di Milano

Conformal Dynamics

-

Marie-Claude Arnaud

Université Paris Cité

Integro-Differential Elliptic Equations

-

Xavier Ros-Oton

ICREA – Universitat de Barcelona – Centre de Recerca Matemàtica

Wildness and Richness of Chaos

-

Dmitry Turaev

Imperial College London

16:15

17:15

Conformal Dynamics

-

Marie-Claude Arnaud

Université Paris Cité

Stable Minimal Hypersurfaces

-

Giovanni Catino

Politecnico di Milano

Wildness and Richness of Chaos

-

Dmitry Turaev

Imperial College London

Integro-Differential Elliptic Equations

-

Xavier Ros-Oton

ICREA – Universitat de Barcelona – Centre de Recerca Matemàtica

17:15

18:45

POSTER SESSION

+

Wine & Cheese

17:15 - 17:45

-

COFFEE BREAK

17:45 - 18:45

-

Stable Minimal Hypersurfaces

-

Giovanni Catino

Politecnico di Milano

POSTER SESSION INFORMATION

Participants have the option to contribute with a poster presentation. Posters have to measure 841cm x 1189cm (A0).

To apply, please select the relevant option during the registration process.

IMPORTANT: if applying for a poster presentation, it will be necessary to fill in the following JISD 2024 – questionnaire for grant and poster presentation applicants .
Resolutions and the information on how to proceed for payment will be sent by the deadline indicated below:
  • Deadline: April 28th, 2024.
  • Resolutions will be sent by May 24th, 2024.

grants

In order to increase the number of young researchers participating in this activity, the CRM offers grants to partially cover the registration fee and lodging on-campus (grant reduced fee: 75€).
To apply, you must complete the registration process. Please go to SIGN IN, on the top of the web, choose the “general registration” and in the OTHERS section the grant you wish to apply for, you will be asked to attach your CV. Please click on the Reservation option before finishing the process.
IMPORTANT: if applying for a grant, it will be necessary to fill in the following JISD 2024 – questionnaire for grant and poster presentation applicants .
Resolutions and the information on how to proceed for payment will be sent by the deadline indicated below:
Application deadline for grants is April 28th, 2024.
Resolutions will be sent by May 24th, 2024.
Organising Committee
Xavier Cabré​ ICREA-​Universitat Politècnica de Catalunya – CRM
Gyula Csato Universitat de Barcelona – CRM
Amadeu Delshams​ ​Universitat Politècnica de Catalunya – CRM
​Marcel Guàrdia​ ​​Universitat de Barcelona – CRM
Tere M. Seara​ ​Universitat Politècnica de Catalunya – CRM
scientific committee
Scott Armstrong Courant Institute, New York University
Jean Pierre Eckmann ​ ​Université de Genève
​Jean-Michel Roquejoffre ​Paul Sabatier University
​Susanna Terracini ​Università de Torino
LIST OF PARTICIPANTS
Name Institution
Nurbek Kakharman Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Jean-Michel Roquejoffre Toulouse III-Paul Sabatier University
Santiago Barbieri Universitat de Barcelona
Kostiantyn Drach Universitat de Barcelona
Gyula Csato Universitat de Barcelona
MARCEL GUÀRDIA MUNÁRRIZ Universitat de Barcelona
Joan Hernández Universitat Autònoma de Barcelona
Joan Verdera Universitat Autònoma de Barcelona
JOAN MATEU BENNASSAR Universitat Autònoma de Barcelona
Gerard Codina Universitat Autònoma de Barcelona
Joan Solà-Morales Universitat Politècnica de Catalunya
Olli Saari Universitat Politècnica de Catalunya
Antoni Burón i Palau Universitat Politècnica de Catalunya
Maria Teresa Martinez-Seara Alonso Universitat Politècnica de Catalunya
Amadeu Delshams i Valdés Universitat Politècnica de Catalunya
Xavier Cabré Vilagut Universitat Politècnica de Catalunya
Albert Mas Blesa Universitat Politècnica de Catalunya
Elena Isasi Theus Universitat Politècnica de Catalunya
Qinbo Chen Nanjing University
Alessandro Barone University of Bologna
Filippo Paiano University of Pisa
Alberto Roncoroni Polytechnic University of Milan
Yannick Sire Johns Hopkins University
Bekarys Bekmaganbetov Brown University
Alberto Maione Centre de Recerca Matemàtica
Joaquim Duran i Lamiel Centre de Recerca Matemàtica
Pau Reig Llunell Centre de Recerca Matemàtica
Niyaz Tokmagambetov Centre de Recerca Matemàtica
Frank Trujillo Centre de Recerca Matemàtica
Registration

The registration fee (200 €/ 75 € for granted) includes coffee breaks and lunch.

  • You will be asked to create a CRM web user account before registering to the activity through the following link:

CRM USER CREATION

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 

ACKNOWLEDGEMENTS
 

For inquiries about this event please contact the Scientific Events Coordinator Ms. Núria Hernández at nhernandez@crm.cat​​

 

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