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This lecture provides a comprehensive introduction to Finsler Geometry as part of the "New trends in Teichmüller theory" program at the International Centre for Theoretical Sciences. Explore the fundamental concepts of Finsler Geometry with Bankteshwar Tiwari in this 58-minute presentation. The lecture connects to broader themes in the two-week thematic program focusing on recent developments in Teichmüller theory, including metric theory of Teichmüller spaces, higher Teichmüller theory, Teichmüller theory of infinite-type surfaces, and relations with anti-de Sitter geometry. Gain insights into this mathematical field that intersects with complex analysis, hyperbolic geometry, dynamics, partial differential equations, and other areas of mathematics. Designed for researchers, students, and postdocs interested in initiating research projects in these emerging fields.
