This lecture explores the entropy rigidity of Hitchin representations as part of the "New Trends in Teichmüller Theory" program at the International Centre for Theoretical Sciences. Delve into the second installment of Zhang Tengren's presentation, which builds upon concepts from higher Teichmüller theory and its connections to Higgs bundles, algebraic geometry, and Anosov representations. The 81-minute lecture takes place in the Ramanujan Lecture Hall during the two-week thematic program scheduled for February-March 2025. Learn advanced mathematical concepts at the intersection of complex analysis, hyperbolic geometry, dynamics, and geometric group theory. This presentation is part of a series designed to foster collaboration among researchers and provide learning opportunities for students and postdocs in emerging fields of Teichmüller theory.