Introduction to Teichmüller Theory - Lecture 2

This lecture is the second part of Federica Fanoni's introduction to Teichmüller theory, recorded during the thematic meeting "Geometric structures and discrete group actions" on April 15, 2025, at the Centre International de Rencontres Mathématiques in Marseille, France. Explore the fundamentals of Teichmüller space through its various interpretations, examining both its topology and geometry while learning how to construct a boundary. The 86-minute lecture primarily focuses on closed surfaces while highlighting the additional challenges that arise when working with non-closed surfaces. Access this video and other mathematical talks on CIRM's Audiovisual Mathematics Library (http://library.cirm-math.fr), where you can utilize features like chapter markers, keywords, abstracts, bibliographies, and Mathematics Subject Classification to enhance your learning experience. The lecture was filmed by Luca Récanzone.