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Explore the mathematical framework of resurgence theory and its profound connections to geometry and physics in this comprehensive lecture by Marcos Mariño. Delve into how resurgence provides a unified approach to understanding asymptotic series, non-perturbative effects, and the deep mathematical structures underlying physical theories. Learn about the geometric foundations of resurgent analysis and discover how this powerful mathematical tool bridges different areas of theoretical physics, from quantum field theory to string theory. Examine specific applications where resurgence theory reveals hidden connections between perturbative and non-perturbative phenomena, and understand how geometric insights enhance our comprehension of physical systems. Gain insights into cutting-edge research that demonstrates how resurgence theory serves as a unifying language for describing complex mathematical and physical phenomena across multiple disciplines.
