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Watch a 50-minute mathematics conference talk exploring the theory of branched projective structures and their moduli spaces. Delve into how complex projective structures and PSL(2,C)-opers fundamentally connect to Riemann surface uniformization theory. Learn about the flexible nature of branched projective structures with ramification points, and discover how any surface group representation with PSL(2,C) values emerges as branched projective structure holonomy. Examine the extension of complex analytic structure properties from complex projective structures to the branched case. Recorded at the "Algebraic Geometry and Complex Geometry" thematic meeting at Centre International de Rencontres Mathématiques in Marseille, France, this presentation includes chapter markers, keywords, abstracts, bibliographies, and Mathematics Subject Classification for enhanced navigation and understanding.
