Topics

ROOM 01: AI, Optimization and Numerical Methods, Integral Equations

In an era where data-driven approaches and intelligent systems shape the future of science and technology, the convergence of Artificial Intelligence (AI), optimization, and numerical analysis opens new frontiers in applied mathematics. AI-driven algorithms enhance the ability to solve complex mathematical models, while optimization remains central to decision-making, system design, and performance enhancement. Meanwhile, integral equations—including the classical and modern developments of Volterra-type—continue to play a critical role in modeling dynamic phenomena across physics, biology, and engineering. This thematic room brings together these complementary fields to explore how analytical insight, computational techniques, and intelligent algorithms can be harmonized to address real-world challenges with rigor and innovation.

Room 2: Differential Equations and Operator Theory

Differential equations and operator theory form the analytical core of modern applied mathematics, offering a robust framework for modeling and interpreting dynamic systems in science and engineering. This thematic room explores recent advances in the theory, analysis, and applications of ordinary and partial differential equations, as well as linear and nonlinear operators. Special emphasis is placed on the interplay between functional analysis and differential systems, spectral theory, and the evolution of abstract operator equations. By bringing together researchers working at the intersection of analysis, modeling, and computation, this room fosters dialogue around foundational techniques and emerging methodologies aimed at solving both theoretical and real-world problems.

Room 3: Fixed Point and Fractional Theory

Fixed point theory plays a central role in nonlinear analysis, providing powerful tools for proving the existence and stability of solutions to complex mathematical problems. Its applications span diverse fields, from iterative algorithms and optimization to dynamic systems and equilibrium models. Alongside it, fractional calculus has emerged as a versatile framework for modeling memory effects and anomalous behaviors in physical and biological systems. With its ability to generalize classical differential operators, fractional theory offers new perspectives on wave propagation, diffusion, and viscoelasticity. This room welcomes contributions that advance the theoretical foundations, computational methods, and real-world applications of both fixed point and fractional approaches.

 Room 4: Other Topics
This session embraces a broad array of mathematical disciplines and their interdisciplinary applications. It welcomes original contributions in algebra, geometry, probability theory, statistics, stochastic processes, and mathematical modeling. Emphasis is also placed on the application of mathematics in diverse areas such as medicine, biology, physics, environmental science, engineering, economics, and finance. By integrating both theoretical developments and real-world applications, this session fosters a rich multidisciplinary exchange and encourages innovative collaborations across fields.