On the Moduli Spaces of Generalized Cantor Sets

Explore a lecture on "On the Moduli Spaces of Generalized Cantor Sets" delivered by Hiroshige Shiga as part of the "New trends in Teichmüller theory" program at the International Centre for Theoretical Sciences. This one-hour lecture delves into advanced mathematical concepts related to Teichmüller theory, focusing specifically on the properties and structures of moduli spaces of generalized Cantor sets. The presentation is part of a two-week thematic program covering recent developments in Teichmüller theory, including metric theory, higher Teichmüller theory, infinite-type surfaces, and relations with anti-de Sitter geometry. Drawing from complex analysis, hyperbolic geometry, dynamics, and other mathematical fields, this lecture represents cutting-edge research presented by an expert in the field.