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This lecture is the first in a series by Ken'ichi Ohshika exploring Thurston's Asymmetric Metric on Teichmuller Space and its induced properties, presented as part of the "New Trends in Teichmüller Theory" program at the International Centre for Theoretical Sciences. Dive into cutting-edge mathematical concepts at the intersection of complex analysis, hyperbolic geometry, dynamics, and geometric group theory. The program, organized by experts from various institutions including IISER Mohali, IISc Bengaluru, Gakushuin University, and the University of Strasbourg, aims to highlight recent breakthroughs in Teichmüller theory, including metric theory, higher Teichmüller theory, infinite-type surfaces, and relations with anti-de Sitter geometry. Learn from renowned experts in this field through mini-courses and research talks designed to foster new perspectives, collaborations, and research opportunities for students and postdoctoral researchers.
