Anti-de Sitter Geometry and Applications to Hyperbolic Surfaces - Part I

Explore the intricacies of Anti-de Sitter geometry and its applications to hyperbolic surfaces in this 47-minute lecture delivered by Andrea Seppi. As part of the Thematic Programme on "Geometry beyond Riemann: Curvature and Rigidity" held at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI) from September 11 to November 3, 2023, delve into advanced mathematical concepts that bridge the gap between theoretical geometry and practical applications. Gain insights into the fundamental principles of Anti-de Sitter geometry and discover how these concepts can be applied to the study of hyperbolic surfaces, expanding your understanding of non-Euclidean geometries and their significance in modern mathematics and physics.