The International Conference on Advances in Operator Theory and Applications (ICAOTA’2026) seeks to unite researchers across diverse areas of modern mathematics, including operator theory, partial differential equations, numerical analysis, and dynamical systems, with a particular focus on their applications to real-world problems. A central theme of the conference will be exploring the connections between classical mathematical approaches and emerging interdisciplinary fields such as artificial intelligence and fractional modeling, fostering collaboration that bridges theoretical innovation with practical solutions. By bringing together experts from both pure and applied mathematics, the event aims to highlight how advanced mathematical frameworks can address complex challenges in science, engineering, and technology.