Global Minds in PDE and Control Theory

Project of Scientific Cooperation Belgium-Brazil.

It is our pleasure to announce that the Ghent Analysis and PDE Center has been awarded one of the Global Minds Fund (GMF) International Grants for 2025, funded by the Research Department at Ghent University. This initiative aims to address global challenges through innovative research and dynamic collaboration. We recall that is our second successful global minds cooperation project (visit the website of our Global Minds Project 2025 here!).

Since 2017, the Federal Government allocates funds, through the office of VLIR-UOS, to the Global Minds Fund (GMF) of Ghent University. GMF operates as driver of change for sustainable development, by producing and valorising relevant knowledge and expertise through mutually beneficial partnerships.

The idea is to cooperate with several key figures of Brazilian mathematicians on a project leading to educational advancement in Brazil. This project will be valuable to pass to younger generations a significant perspective in the field of partial differential equations and control theory through the leading Brazilian partners of the project.

The project is promoted by Prof. Dr. Michael Ruzhansky (PI) and co-promoted by our FWO Postdoctoral Researchers (Co-PIs) Dr. Duvan Cardona and Dr. Marianna Chatzakou. As part of our strategic alliances we will cooperate with ICMAM Latin America (International Community of Mathematicians from Latin America) in the organisation of several virtual conferences related to this project.

About the Project

Project Title: Global Minds in PDE and Control Theory

Value of the grant: €10,000

Promotor: 
Prof. Dr. Michael Ruzhansky (PI), Ghent University.
Co-promotors:
 
Dr. Duvan Cardona (Co-PI), Ghent University
Dr. Marianna Chatzakou (Co-PI), Ghent University

Global South partners: 

Prof. Dr. Jaqueline Godoy Mesquita (Universidade Estadual de Campinas, Brazil)
Prof. Dr. Paulo L. Dattori da Silva (Universidade de São Paulo, Brazil)
Prof. Dr. Alexandre Kirilov (Universidade Federal do Paraná, Brazil)
Prof. Dr. Marcelo R. Ebert (Universidade de São Paulo, Brazil)
ICMAM Latin America (International Community of Mathematicians from Latin America)

Tentative plan of activities:

  1. Virtual Activities (in Brazil and in El Salvador):

    14th-18th July 2025: ICMAM Satellite Conference in Analysis and
    PDE for Central America and the Caribbean
    ,
    hosted at the University of El Salvador,
    organised jointly with our group at UGent.

    25th-26 September 2025: ICMAM Satellite Conference in Differential Geometry 2025
    Organisers: Brian Grajales and Julieth Saavedra. Hosted by the Universidade Estadual de Maringá, Brazil.

    20th-24th October 2025: ICMAM Central America and the Caribbean,
    hosted at the University of El Salvador, organised jointly with our group at UGent.

    The goal of these conferences is the integration of Brazilian Mathematicians with the Central American Mathematical Community with the scientific cooperation of the Ghent Analysis and PDE Center, the International Society for Analysis, its Applications and Computation (ISAAC) and ICMAM Latin America
    (International Community of Mathematicians from Latin America). The organisation of these
    conferences will be supervised by the co-promotor Dr. Duván Cardona.
  2. Editorial Project: These two conferences will receive scientific contributions from outstanding participants and speakers collected in the book:

    Analysis and PDE in Latin America 2025, Global Minds – ICMAM 2025,

    and will be submitted to the Book Series of the Ghent Analysis and PDE Center: Research Perspectives Ghent Analysis and PDE Center, Springer-Birkhäuser.

  3. In-person Workshop. From April 27th to 30th 2026 (tentative schedule), the workshop:

    Global Minds in Partial Differential Equations and Control Theory

    will take place in person at Ghent University at the facilities of the Ghent Analysis and PDE Center.

    Visit also the website of our previous project of cooperation Belgium-Colombia: Global Minds in Pseudo-Differential Analysis 2025

Microlocal Day #13, 19 May 2025

It is our pleasure to announce the next Ghent Methusalem Microlocal Day # 13, which will take place on Monday, 19 May 2025.

The Microlocal Day is an event featuring a brief and intensive series of lectures on various aspects of microlocal analysis and related topics. The program consists of both research presentations and survey lectures intended for researchers and PhD students interested in the field. Everyone is welcome to attend.

Venue: Leslokaal 3.1, Campus Sterre, S8, Ghent University, Belgium

Zoom link to join: https://us02web.zoom.us/j/83095584409?pwd=c3huaUhZcWFrZ2NNMU05Ujg4aUlWQT09

Meeting ID: 830 9558 4409

Passcode: 135803

Schedule: all times CEST

Opening 13:30-13:35

13:35-14:15. Ville Turunen  (Aalto University, Finland) 

Title: Zabreiko’s remarkable Lemma, and its implications

14:20 – 14:50.  Smiljana Jakšić (University of Belgrade, Serbia)

Title: A brief introduction to Pilipovic spaces on positive orthants

15:00-15:30.  Lars Becker (Universität Bonn, Germany)

Title: Discrete Brunn-Minkowski inequality for subsets of the cube

15:40-16:00.  Sekhar Ghosh (National Institute of Technology Calicut, Kerala, India) 

 Title: Brezis-Nirenberg type problems driven by superposition operators

16.30 – 16.55  Pradeep Boggarapu (BITS, Pilani, India)

Title: Mixed normed estimates for the Cesaro means associated with the Dunkl-Hermite expansions

This Microlocal Day continues the tradition of Microlocal Days that we have been organising at Imperial College London, then continued at Ghent University. So, this Microlocal Day can be viewed as Microlocal Day #13.

For more information about this event, visit our webpage: https://analysis-pde.org/microlocal-day-13-19-may-2025/


Global Minds in Pseudo-differential Analysis 2025

We’re excited to announce the Global Minds in Pseudo-Differential Analysis Workshop, hosted by the Ghent Analysis and PDE Center, taking place (on-site and online) on 25, 28 & 29 April 2025.

🔹 Dates:

  • Day 1: Friday, 25 April 2025
  • Day 2: Monday, 28 April 2025
  • Day 3: Tuesday, 29 April 2025

🔹 Venue (On-Site):

  • Day 1: Leslokaal 3.1, S8, Campus Sterre, Ghent University
  • Day 2: Leslokaal 2.1, S8, Campus Sterre, Ghent University
  • Day 3 Morning: Leslokaal 3.1, S8, Campus Sterre, Ghent University
  • Day 3 Afternoon (Forum of Women in Mathematics): Leslokaal 1.4, S8, Campus Sterre, Ghent University

🔹 Registration:
Free but mandatory – Please register your attendance via the following link:
👉 Registration & Program Updates
(This information helps us prepare the official report for the Research Department at Ghent University.)

🔹 Workshop Opening:
By Prof. Dr. Michael Ruzhansky, Head of the Ghent Analysis and PDE Center.

🔹 Speakers (in chronological order):

  • Jairo Hernández
  • Bienvenido Barraza
  • Carolina Neira
  • Liliana Posada
  • David Santiago Gómez Cobos
  • Bolys Sabitbek
  • Uwe Kähler
  • Frank Taipe
  • Kristina Oganesyan
  • Zhipeng Song
  • Gulnur Kulzhanova
  • Duván Cardona

🔹 Forum of Women in Mathematics:

  • Marianna Chatzakou
  • Carolina Neira
  • Kristina Oganesyan
  • Gulnur Kulzhanova
  • Liliana Posada
  • Zahra Keyshams
  • Monire Mikaeili

🔹 More Information:
The full program and updates can be found here:
👉 https://analysis-pde.org/global-minds-in-pseudo-differential-analysis/

Organisers:
Prof. Dr. Michael Ruzhansky
Dr. Duván Cardona
Dr. Marianna Chatzakou

Ghent Analysis and PDE Center in cooperation with ICMAM Latin America.

Join us for an inspiring event connecting global minds in pseudo-differential analysis!

Methusalem Colloquium Lecture by Arick Shao

Dr. Arick Shao
Queen Mary University of London

Topic: Scattering and Asymptotics for Critically Weakly Hyperbolic and Singular Systems
Time: 14:30 – 15:30 CET (14 and 15 April, 2025)
Where: Leslokaal 3.1 (Krijgslaan 281, Building S8, Ghent University)

We study a very general class of first-order linear hyperbolic systems that both become weakly hyperbolic and contain singular lower-order coefficients at a single time t = 0. In critically weakly hyperbolic settings, it is well-known that solutions lose a finite amount of regularity at t = 0. Here, we both improve upon the analysis in the weakly hyperbolic setting, and we extend this analysis to systems containing critically singular coefficients, which may also exhibit modified asymptotics and regularity loss at t = 0. In particular, we give precise quantifications for (1) the asymptotics of solutions as t approaches 0, (2) the scattering problem of solving the system with asymptotic data at t = 0, and (3) the loss of regularity due to the degeneracies at t = 0. Finally, we discuss a wide range of applications for these results, including weakly hyperbolic wave equations (and equations of higher order), as well as equations arising
from relativity and cosmology (e.g. at big bang singularities).
This is joint work with Bolys Sabitbek (QMUL). 

Congratulations to Durvudkhan Suragan!

Congratulations to Dr. Durvudkhan Suragan on being awarded the prestigious 

Order of Kurmet

by the President of Kazakhstan! The Order of Kurmet (Order of Honour) is a state award established in 1993, recognizing outstanding contributions in the fields of economics, science, culture, social development, and education.

Microlocal Day #12, 8 April 2025

It is our pleasure to announce the next Ghent Methusalem Microlocal Day # 12, which will take place on Tuesday, 8 April 2025.

The Microlocal Day is an event featuring a brief and intensive series of lectures on various aspects of microlocal analysis and related topics. The program consists of both research presentations and survey lectures intended for researchers and PhD students interested in the field.

Venue: Leslokaal 3.1, Campus Sterre, S8, Ghent University, Belgium

Schedule: all times CEST

Opening 11:00-11:05

11:05-11:50.  Sergo Yepiskoposyan  (National Polytechnic University of Armenia, Armenia) 

Title: Orthonormal Systems and Greedy Algorithms

Abstract: The lecture will present classical orthonormal systems such as Rademacher, Walsh, Haar, Christenson-Levy systems and their properties. As well as greedy algorithms for these systems. Convergence results of the greedy algorithm for the Walsh system in the spaces $L^1[0,1)$ and $L_{\mu}^1[0,1)$ will be presented.

14:00-14:45.  Sergo Yepiskoposyan (continuation)

15:00-15:30.  Bolys Sabitbek (Queen Mary University of London, UK)

Title: Critically degenerate/singular hyperbolic equations

Abstract: We will discuss the wave equations that becomes weakly hyperbolic and singular at time t = 0. We provide precise quantifications for the asymptotics of solutions as t approaches 0, the scattering problem and the loss of regularity caused by the degeneracies at t = 0.

15:40-16:00. Aidyn Kassymov (Institute of Mathematics and Mathematical Modelling, Kazakhstan): 

Title: On fractional inequalities on metric measure spaces with polar decomposition

Abstract: In this paper, we prove the fractional Hardy inequality on polarisable metric measure spaces. The integral Hardy inequality for 1<p≤q<∞ is playing a key role in the proof. Moreover, we also prove the fractional Hardy-Sobolev type inequality on metric measure spaces. In addition, logarithmic Hardy-Sobolev and fractional Nash type inequalities on metric measure spaces are presented. In addition, we present applications on homogeneous groups and on the Heisenberg group. (joint paper with M. Ruzhansky and G. Zaur).

16:00 – Closing.

This Microlocal Day continues the tradition of Microlocal Days that we have been organising at Imperial College London, then continued at Ghent University. So, this Microlocal Day can be viewed as Microlocal Day #12.

For more information about this event, visit our webpage: Microlocal Day #12, 8 April 2025 – Ghent Analysis & PDE Center

Ghent Methusalem mini course by Prof. S. Thangavelu

Prof. S. Thangavelu
IISc, Bangalore

Topic: A brief introduction to modulation spaces on the Heisenberg group
Time: Thursday, 3rd April, 2 PM – 4 PM CEST

Friday, 4th April, 10 AM – 12 PM CEST
Where: Leslokaal 3.1 (Krijgslaan 281, Building S8, Ghent University)

The lecture begins with a review of the definition of modulation spaces on R^n, reformulated using the Bargmann transform. It then introduces twisted modulation spaces through the twisted Bargmann transform. Finally, modulation spaces on the Heisenberg group are presented as direct integrals of twisted modulation spaces. The lecture concludes with a discussion of some fundamental properties of these spaces.

Methusalem Seminar by Miquel Saucedo

Miquel Saucedo
CRM, Universitat Autonoma de Barcelona, Spain

Topic: Every classical inequality for the Fourier operator is trivial
Time: Thursday, April 3rd, 11:00 AM-12:30 PM CEST
Where: Leslokaal 3.2 (Krijgslaan 281, Building S8, Ghent University)

In this talk, we will see that if the Fourier operator is bounded between two classical spaces (for instance, rearrangement invariant spaces), then every operator that maps L1 and L2 to Linfty and L2, respectively, must also be bounded. We will also discuss why this means that there cannot be any “interesting” classical Fourier inequalities and give some applications. This is joint work with Sergey Tikhonov.

Congratulations to Aidyn and Nurgissa!

Congratulations to Aidyn Kassymov and Nurgissa Yessirkegenov for receiving the nomination of

The Best Researcher Kazakhstan 2024

Their exceptional research contributions have greatly advanced our understanding of various fields, making them a deserving candidate for the Best Researcher nomination in Kazakhstan for 2024. We are proud to recognize their unwavering commitment to innovation and excellence, which inspires peers and students alike. This nomination not only highlights their remarkable achievements but also underscores their significant impact on the research community in Kazakhstan.