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Explore the mathematical foundations of relative regular Riemann-Hilbert correspondence in this 58-minute conference talk delivered at ICBS2025. Delve into advanced topics in algebraic geometry and differential equations as the speaker presents theoretical frameworks connecting differential systems and representation theory. Examine the intricate relationships between regular singular differential equations and their corresponding monodromy representations, with particular focus on relative settings and their geometric interpretations. Gain insights into current research developments in this specialized area of mathematics, including technical proofs, computational methods, and applications to broader mathematical contexts. Suitable for graduate students and researchers working in algebraic geometry, differential equations, or related fields of pure mathematics.
