Plenary Speakers

1. Christophe RITZENTHALER -CIMPA Executive Director

Title: Education and collaboration in research in mathematics: a survey of CIMPA activities.

2. Marcella Samà, Università Roma Tre, Italy

Title: An Operation Research Perspective: from classical problem to real-world applications.
Abstract: Operations Research (OR) is a multidisciplinary field that tackles complex decision-making problems through analytical methods in order to improve the effectiveness of the decisions taken. Despite its roots in classical problems, OR has always been driven by the pursuit of practical applications. In this talk we will explore how classical problems continue to serve as a foundation for addressing increasingly complex challenges, demonstrating the field’s enduring relevance and versatility.

3. Modjtaba Ghorbani, Shahid Rajaee Teacher Training University

Title: On the spectra of matrices based on graph invariants.
Abstract: The spectra of a network’s adjacency matrix provide insights into various structural properties and the dynamic behaviour of the corresponding complex system. For example, the degeneracy of the zero and one eigenvalues reveals clues about the structural symmetries of the underlying networks (Yadav and Jalan, 2015). In this presentation, we examine the spectra of several matrices associated with a molecular graph based on topological indices.

4. Rasber Dhahir Rashid, Salahaddin University-Erbil

Title: AI in Multidisciplinary Science: Opportunities, Challenges, and the Need for Explainability. 
Abstract: Artificial Intelligence (AI) is transforming multidisciplinary science, offering 
unprecedented opportunities for mathematicians, physicists, and computer scientists  to tackle complex problems. From accelerating simulations in physics to optimizing algorithms in computer science and modeling intricate mathematical systems, AI enhances efficiency and uncovers novel insights. However, its integration into rigorous scientific inquiry presents significant challenges that demand careful consideration. Black Box models, biased datasets, and over-reliance on AI can lead 
to misleading results, undermining the credibility of scientific findings. This talk explores AI’s transformative potential while emphasizing the critical need for explainability to ensure robust, and reproducible outcomes. 

5. Waleed Husain Aziz, Salahaddin University-Erbil, Iraq

Title: Integral Aspects of Differential Vector Fields
Abstract: The local integrability of two dimensional differential systems has been extensively studied by many authors. Our aim here is to generalize this problem to three and four dimensional differential systems with varies kind of resonance. In particular, we focus on two simplified versions of the general problem of integrability and linearizability.
The first one deals with integrability and linearizability problems with restriction to the quadratic three dimensional Lotka-Volterra differential systems with (1∶-3∶1)-resonant singular point at the origin and a family of cubic three-dimensional Lotka–Volterra systems with one zero eigenvalue, involving seventeen parameters.
The second one investigates the study of the linearizability problem of a singular point at the origin for a family of a quadratic four dimensional Lotka–Volterra system for (1:-1:1:1)-resonance.
The main method which we have used is the Darboux method of integrability and Jacobi multipliers together with some more explicit power series arguments.