In this talk, we discuss the classification of hyperbolic Coxeter polyhedra, that is, hyperbolic polyhedra whose dihedral angles are integer submultiples of \pi.
We start with a gentle introduction to the topic with basic definitions and examples, and we give a brief overview of the known classification results. In the second part of the talk, we provide a lower bound for the dihedral angles of Coxeter polyhedra with mutually intersecting facets together with a recipe for classifying them all. We establish the complete classification of ADEG-polyhedra, present the methods involved, and discuss further properties and developments.
