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This lecture by Jean-Marc Schlenker explores the bending laminations of quasifuchsian manifolds as part of the "New Trends in Teichmüller Theory" program organized by the International Centre for Theoretical Sciences. Delve into advanced concepts at the intersection of hyperbolic geometry, complex analysis, and Teichmüller theory during this 80-minute presentation. The lecture contributes to a two-week thematic program focusing on recent developments in Teichmüller theory, including metric theory of Teichmüller spaces, higher Teichmüller theory, infinite-type surfaces, and relations with anti-de Sitter geometry. Designed for researchers, postdocs, and graduate students interested in geometric topology, this first lecture in the series provides foundational insights into quasifuchsian manifolds and their bending properties.
