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.
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.
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.
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.
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.
ACOMEN2025 provides a global platform for presenting and discussing cutting-edge advancements in computational and applied mathematics across diverse engineering and scientific disciplines.
📝 Program Topics Include:
Applied and Computational Mathematics
Computational Solid and Fluid Mechanics
Computational Material Science & Electromagnetism
Biomechanics and Computational Natural Sciences
Data-Driven Methods and AI in Modeling
Fluid-Structure Interactions and Coupled Problems
High-Performance Scientific Computing
Inverse Problems & Machine Learning
New Discretization Methods & Numerical Analysis
Optimization Methods
Partial Differential Equations
Numerical analysis
Scientific Computation Software
Simulation of Manufacturing Processes
Uncertainty Quantification and Stochastic Modeling
🎓 Plenary Speakers:
We are honored to host renowned experts in the field:
Peter Bastian (Universität Heidelberg)
Paul Bressloff (Imperial College London)
Jerome Droniou (University of Montpellier)
Jan S. Hesthaven (École Polytechnique Fédérale de Lausanne)
Barbara Kaltenbacher (Alpen-Adria-Universität Klagenfurt)
Michael Klibanov (University of North Carolina at Charlotte)
Matti Lassas (University of Helsinki)
Barbara Wohlmuth (Technical University of Munich)
📝 Call for Abstracts and Mini-Symposium Proposals
Abstract Submission:
Submissions are now open! Templates and submission forms are available on our website.
Mini-Symposium Proposals:
Propose a mini-symposium with:
A tentative title
A brief description
Contact details for at least four speakers
Send your proposal to acomen2025@ugent.be, and we’ll notify you promptly upon acceptance.
Congratulations to Markos Fisseha Yimer on being awarded the IMU-Simons Research Fellowship, a prestigious grant for researchers from developing countries. This fellowship, up to 7,500 USD, will cover his travel, accommodation, and daily expenses for a research visit to our Ghent Analysis & PDE Centre from July 1, 2025, to September 30, 2025.
During his stay, Markos will work on a project titled Levin-Cochran-Lee inequalities on metric measure spaces, under the guidance of Prof. Dr. Michael Ruzhansky. This project aims to make new discoveries in mathematics and is a great opportunity for Markos to build his research skills and experience.
This visit is also about more than just research. It’s a chance for both Addis Ababa University and Ghent University to connect, exchange ideas, and build a stronger relationship that could lead to more collaboration in the future.
Once again, congratulations to Markos on this fantastic achievement!
As we conclude our comprehensive summer school on “Direct and Inverse Problems with Applications, and Related Topics” we want to extend our deepest gratitude to all the participants, lecturers, and organizers who made this event a great success. Over the past week, we’ve had an incredible journey through the intricate landscapes of mathematical analysis, with a particular focus on partial differential equations and their applications.
📅 Program Overview:
Dates: August 19 – 23, 2024
Distinguished Lecturers: We had the privilege of learning from leading experts like Luis Vega, Jean Dolbeault, Hajer Bahouri, and others who shared insights into the latest challenges in direct and inverse problems.
📝 Key Highlights:
Engaging Lectures and Discussions: Participants delved into advanced techniques in PDEs and inverse problems, with ample opportunities for discussions.
Active Participant Involvement: Our participants actively contributed to discussions, and we were impressed by the quality of the poster presentations during our public outreach event.
Public Outreach: The public lecture and poster session offered a platform for broader engagement, sparking insightful conversations and new ideas.
🎓 Looking Ahead:
This summer school not only provided advanced knowledge but also fostered connections that will undoubtedly lead to future collaborations and research opportunities. For those pursuing their PhDs, this event has added significant value to their academic journeys, particularly in the application of PDEs to engineering and other scientific fields.
We also appreciate the contributions of our scientific committee, whose guidance ensured the high quality of the program.
Thank you to all who participated. We look forward to seeing how you’ll apply these learnings to advance mathematical analysis.
Until we meet again, keep pushing the boundaries of knowledge and innovation! 📖
We are thrilled to announce the outstanding achievement of Abhilash Tushir, with his successful defense of his PhD thesis, “Semi-classical Analysis of Partial Differential Equations in Lattices”! 🌟📚
It is a testament to Abhilash’s dedication, perseverance, and intellectual excellence that he has been awarded the PhD title. Under the supervision of Prof. Aparajita Dasgupta from IIT Delhi and Prof. Michael Ruzhansky from the Ghent Analysis & PDE Center, Abhilash navigated the complexities of semi-classical analysis and its applications to partial differential equations, demonstrating exceptional scholarly ability. 🌐🔍
His research delved into:
The classical wave equation;
The fractional Klein-Gordon equation;
The heat equation with fractional Laplacian operator;
The wave equation with Schrödinger operator;
The general time-fractional diffusion equation associated with the Schrödinger operator.
This achievement not only marks the culmination of years of intense research but also represents the beginning of new opportunities and potential contributions to the scientific community. 📚🎓
Congratulations, Abhilash! We are excited to see all the great things you will accomplish in your future endeavors and wish you all the best in your continued journey of academic and professional excellence. 🥳🎉🎊
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 collaborate with several outstanding Colombian mathematicians on a project leading to educational advancement in Colombia. This project will be valuable to pass to younger generations a significant perspective in the field of pseudo-differential operators through the leading Colombian partners of the project. This scientific plan is part of the initiatives of the Ghent Analysis and PDE Center to support mathematical research in developing countries, particularly, from Latin America. 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 Pseudo-Differential Analysis
Value of the grant: €7,500
Description: This transformative project focuses on enhancing educational opportunities in Colombia by partnering with prominent Colombian mathematicians. The aim of this project is to impart significant knowledge in the field of pseudo-differential operators to the younger generation. This initiative is part of the Ghent Analysis and PDE Center’s commitment to supporting mathematical research in developing countries, particularly in Latin America.
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. Jairo Hernández (Universidad del Norte, Colombia) Prof. Dr. Bienvenido Barraza (Universidad del Norte, Colombia) Prof. Dr. Carolina Neira Jiménez (National University of Colombia) Prof. Dr. Liliana Posada (Universidad del Valle, Colombia) ICMAM Latin America(International Community of Mathematicians from Latin America)
Locations:
Belgium: From April 14th to 18th 2025 (tentative), the workshop: Global Minds in Pseudo-differential Operators will take place in person at Ghent University. A minicourse on pseudo-differential operators on compact Lie groups will be given by the co-promotor Dr. Duván Cardona, and a minicourse about geometric operators on stratified groups will be given by the co-promotor Dr. Marianna Chatzakou. A day forum aboutWomen in Pseudo-differential Operators led by Dr. Marianna Chatzakou will be part of the program to exchange ideas about the mathematical contributions of the junior and senior women mathematicians participating in the workshop.
Colombia: The workshop will be preceded and succeeded by several virtual conferences and virtual seminars involving Colombian and also other Latin American researchers in the research program about pseudo-differential operators in the Ghent Analysis and PDE Center. To allow our scientific experiences to also involve young mathematicians from Latin America, our virtual conferences, seminars, lectures, forums, and mini-courses will be organised by ICMAM Latin America (International Community of Mathematicians from Latin America). We will cooperate with this research organisation to spread all these videos among young mathematicians from Latin America.
Project Goals
🌱 Sustainable Development: Enhance mathematical expertise in regions with limited access to advanced training.
🌐 Knowledge Exchange and Capacity Building: Facilitate learning and collaboration by providing a platform for researchers and students from the Global South.
🔍 Integration of Advanced Techniques: Empower participants to tackle complex problems using advanced mathematical techniques.
Activities Overview
📅 Workshop: From April 14th to 18th, 2025, an in-person workshop will be hosted at Ghent University. Local researchers will present their work on pseudo-differential operators, and invited Colombian researchers will share their advancements. Each day will end with a discussion forum to explore open problems and develop research collaboration plans.
🎓 Minicourses:
Pseudo-Differential Operators on Compact Lie Groups: Led by Dr. Duván Cardona.
Geometric Operators on Stratified Groups: Led by Dr. Marianna Chatzakou.
👩🔬 Special Forum: A forum on “Women in Pseudo-Differential Operators,” led by Dr. Marianna Chatzakou, will highlight the contributions by women mathematicians in the theory of pseudo-differential operators.
💻 Virtual Engagements: The workshop will include virtual conferences and seminars, recorded and made available on YouTube to reach young mathematicians in Latin America. We will collaborate with the International Community of Mathematicians from Latin America (ICMAM) to disseminate these videos.
Research Forum about Women in Mathematics From April 15h to 30th, two leading women mathematicians from Colombia, namely, Dr. Liliana Posada from Universidad del Valle, and Dr. Carolina Neira from National University of Colombia will deliver several presentations leading to discussions about research of women mathematicians, particularly, in pseudo-differential operators.
Expected Outcomes
📈 Enhanced research capacity and new collaborations.
🌍 Empowered researchers addressing local challenges.
🔗 Ongoing collaboration through an online platform and joint projects.
Join us in making an impact through the Global Minds Fund – Explore and Valorise 2024. Together, we can drive positive change and foster a brighter future for global education and sustainable development. 🌟🌐
Let’s collaborate to explore and valorise knowledge in pseudo-differential operators and make a lasting impact on mathematical education and research in developing countries. 🌟🎓📚
We’re thrilled to have Prof. Maria Gordina from Connecticut University giving a mini-course on Infinite-dimensional Heisenberg groups! Yesterday, we delved into the first part, and today we were eager to explore the final session.
📅 Dates & Times:
Wednesday, April 24: 3:00 PM – 5:00 PM
Thursday, April 25: 11:30 AM – 12:30 PM
📍 Location: Leslokaal 3.1, Campus Sterre, 28, Ghent University
📝 Outline of the Mini-Course: These informative sessions cover various aspects of analysis on infinite-dimensional Heisenberg-like groups:
Abstract Wiener Spaces and Gaussian Measures
Finite-dimensional Heisenberg Groups: As Lie groups and as sub-Riemannian manifolds
Review of Analysis on Heisenberg Groups: Gradient estimates and log Sobolev inequalities
Analysis on Infinite-dimensional Heisenberg Groups
This mini-course provided an invaluable opportunity for our group members, especially for our PhD students, to deepen their understanding of this complex subject. It offers a unique opportunity for participants to actively engage in cutting-edge research within the field.
A special thank you to Prof. Maria Gordina for sharing her expertise with us. Let’s make today’s session as enlightening as yesterday’s!
