Explore the fascinating intersection of probability theory and hyperbolic geometry in this lecture by Bram Petri. Delve into the world of hyperbolic manifolds, understanding their definition as Riemannian manifolds with complete metrics and constant sectional curvature of -1. Discover how these structures are locally isometric to hyperbolic space and their significance across various mathematical domains. Learn how probabilistic methods can be applied to solve complex questions regarding the geometry and topology of hyperbolic manifolds, gaining insights into this advanced area of mathematics.
Overview
Syllabus
Bram Petri: Probabilistic methods in hyperbolic geometry
Taught by
Hausdorff Center for Mathematics
Related Courses
-
An Introduction to Hyperbolic Geometry
-
Hyperbolic Manifolds in Dimension Higher Than 3
-
Efficiently Chopping a Hyperbolic Surface in Two - Cheeger Constants and Spectral Geometry
-
Hyperbolic Geometry, Fuchsian Groups and Moduli Spaces - Lecture 1
-
The Geometry of Random Genus-0 Hyperbolic Surfaces via Trees
-
Reflections in Hyperbolic Geometry - Universal Hyperbolic Geometry Lecture 14
