The Geometry of the Word Problem for Finitely Generated Groups

Dehn Functions and Non-Positive Curvature. - The Isoperimetric Spectrum. - Dehn Functions of Subgroups of CAT(0) Groups. - Filling Functions. - Filling Functions. - Relationships Between Filling Functions. - Example: Nilpotent Groups. - Asymptotic Cones. - Diagrams and Groups. - Dehn's Problems and Cayley Graphs. - Van Kampen Diagrams and Pictures. - Small Cancellation Conditions. - Isoperimetric Inequalities and Quasi-Isometries. - Free Nilpotent Groups. - Hyperbolic-by-free groups.