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This lecture is the third in a series by Ken'ichi Ohshika exploring the Earthquake Metric of Teichmüller Space, presented as part of the "New Trends in Teichmüller Theory" program at the International Centre for Theoretical Sciences. Delve into advanced concepts in Teichmüller theory, building upon previous lectures in this mini-course. The program brings together various mathematical perspectives including complex analysis, hyperbolic geometry, dynamics, partial differential equations, and geometric group theory to explore recent developments in the field. Learn about breakthrough research in the Thurston metric, higher Teichmüller theory, infinite-type surfaces, and connections to anti-de Sitter geometry. This 83-minute lecture is designed for researchers, postdocs, and graduate students interested in the cutting edge of Teichmüller theory and its intersections with other mathematical disciplines.
