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Explore advanced concepts in theoretical physics through this conference talk examining generalized Schur partition functions and their relationship to renormalization group (RG) flows. Delve into the mathematical framework connecting partition functions with physical theories, understanding how these mathematical objects encode information about quantum field theories and their behavior under energy scale transformations. Learn about the generalization of classical Schur functions and their applications in modern theoretical physics, particularly in the context of supersymmetric gauge theories and conformal field theories. Discover how RG flows describe the evolution of physical theories across different energy scales and examine the deep connections between mathematical structures and physical phenomena. Gain insights into cutting-edge research at the intersection of mathematics and theoretical physics, with particular emphasis on partition functions as powerful tools for understanding quantum field theory dynamics and phase transitions.
