I am running an online seminar this semester on basics of hyperbolic geometry. The main reference is Martelli's book An Introduction to Geometric Topology.
(Feb 1/ Lizi Guo): Geometry of Hyperbolic Spaces
(Feb 8/ Lizi Guo): Discrete Subgroups of Isom(H^n) and Hyperbolic Manifolds
(Feb 15/ Lizi Guo): Oribifolds, Margulis Lemma and Thin-Thick Decomposition Theorem
(Feb 22/ Lizi Guo): Applications of Thin-Thick Decomposition
(Mar 1/ Lizi Guo): Limit Set, Epstein–Penner Decomposition and Extensions of Homotopies
(Mar 8/ Lizi Guo): Algebraic Topology of 3-manifolds, Prime Decomposition
(Mar 22/ Lizi Guo): Haken Manifolds, Hierarchy and Thurston's Hyperbolization Theorem
I organized an on-campus seminar on Intersection Homology and Perverse Sheaves in 2025 Fall. See here for more details.