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Explore the fundamental connections between algebraic topology and interdisciplinary mathematics through this 46-minute conference talk that introduces simplicial technologies and their applications across multiple fields. Discover how simplicial complex modeling bridges topology with various sciences, and learn about simplicial homotopy theory approaches to higher categories. Examine the structural analysis of higher homotopy groups using simplicial and combinatorial techniques, revealing deep connections between homotopy groups and braid theory. Investigate the relationship between loop space homotopy theory and modular representation theory of symmetric groups. Gain insights into GLMY theory and its practical applications in molecular biology, complex diseases, materials science, and complex network analysis, demonstrating how topological methods provide powerful tools for understanding complex systems across diverse scientific domains.
