Bounds in Renormalized Volume for Hyperbolic 3-Manifolds - Franco Vargas Pallete

Explore the intricacies of hyperbolic 3-manifolds in this comprehensive seminar from the Variational Methods in Geometry series. Delve into the topic of bounds in renormalized volume as presented by Franco Vargas Pallete from the University of California, Berkeley. Begin with an introduction to the subject matter before examining key formulas and heuristics. Investigate mean curvature and its relevance to the theorem at hand. Analyze visual matrices and parametrization techniques, followed by an in-depth look at enveloping maps and developing maps. Conclude with a limit analysis and variation formula, gaining a thorough understanding of this complex geometric concept.