Triangle Geometry in the Hyperbolic Setting

Abstract:

Triangle geometry has seen an explosion of activity in the last few decades, but primarily in the Euclidean setting.

This talk will overview a few interesting results from the classical theory, and then will try to explain the difficulties in transferring things to hyperbolic geometry, and how these are overcome using Universal Hyperbolic Geometry.

Many new results and directions for the subject are then described.

The talk will consist of pictures only--no formulas!