Finiteness of Totally Geodesic Hypersurfaces in Negative Curvature

Explore the mathematical theory of totally geodesic hypersurfaces in negatively curved spaces through this conference talk delivered by Benjamin Lowe at the International Centre for Theoretical Sciences. Delve into advanced geometric analysis concepts as part of the "Geometry and Analysis of Minimal Surfaces" program, examining the finiteness properties of these special geometric objects. Learn about the intersection of differential geometry, topology, and analysis as applied to understanding the structure and limitations of totally geodesic hypersurfaces within the broader context of minimal surface theory. Gain insights into cutting-edge research that connects geometric analysis with higher Teichmüller theory, complex geometry, and mathematical physics, presented as part of a comprehensive program bringing together leading researchers in minimal surface theory and related fields.