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Explore the mathematical concept of 4-dimensional mirror symmetry in this comprehensive lecture delivered at the International Congress of Basic Science 2025. Delve into advanced theoretical frameworks and mathematical structures that govern mirror symmetry in four-dimensional spaces, examining the fundamental principles and applications of this sophisticated geometric concept. Learn about the latest research developments and theoretical insights in this specialized area of mathematics, as presented by an expert researcher in the field. Gain understanding of the complex mathematical relationships and symmetrical properties that characterize 4D mirror systems, and discover how these concepts contribute to broader mathematical theories and potential applications in theoretical physics and geometry.