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This lecture is the second part of Sabyasachi Mukherjee's presentation on Combination Theorems, Bers slices, and Holomorphic Correspondences, delivered as part of the "New Trends in Teichmüller Theory" program at the International Centre for Theoretical Sciences. Explore advanced concepts in Teichmüller theory through this one-hour lecture that builds upon the foundations established in the first part. The program, organized by experts from various institutions including IISER Mohali, IISc Bengaluru, Gakushuin University, and CNRS, covers cutting-edge developments in the field, including metric theory of Teichmüller spaces, higher Teichmüller theory, infinite-type surfaces, and relations with anti-de Sitter geometry. Gain insights into this interdisciplinary area that draws techniques from complex analysis, hyperbolic geometry, dynamics, partial differential equations, projective geometry, group theory, algebraic geometry, and Kähler geometry.
