JISD 2024

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

200€ General registration/choose also this option if applyting for a grant (granted participants will receive the resolution by May 19 and will be asked to pay 75€)
0€ CRM members / Affiliated / Lecturers

IMPORTANT: if applying for a grant in the registration process, it will also be necessary to fill in the following JISD 2024 – questionnaire for grant and poster presentation applicants.

Registration deadline 23 / 06 / 2024
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

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

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 19th, 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 19th, 2024.
LIST OF PARTICIPANTS
Name Institution
Gyula Csato Universitat de Barcelona
MARCEL GUÀRDIA MUNÁRRIZ Universitat de Barcelona
Santiago Barbieri Universitat de Barcelona
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
Pau Reig Llunell 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​​