Table of Contents

An overview of Lie's line-sphere correspondence by R. Milson Application of Lie group analysis to a mathematical model which describes HIV transmission by V. Torrisi and M. C. Nucci Geometry and PDE on the Heisenberg group: A case study by R. Beals Invariant evolutions of curves and surfaces and completely integrable Hamiltonian systems by G. Mari Beffa On the fixed points of the toda hierarchy by B. A. Shipman Group invariant solutions in mathematical physics and differential geometry by I. M. Anderson, M. E. Fels, and C. G. Torre Discrete symmetries of differential equations by P. E. Hydon Integrable geometric evolution equations for curves by T. A. Ivey On integrability of evolution equations and representation theory by J. A. Sanders and J. P. Wang Symmetry groups, nonlinear partial differential equations, and generalized functions by M. Oberguggenberger Lie symmetries of differential-difference equations by R. H. Heredero On a variational complex for difference equations by E. L. Mansfield and P. E. Hydon The invariant variational bicomplex by I. A. Kogan and P. J. Olver On geometrically integrable equations and hierarchies of pseudo-spherical type by E. G. Reyes Inductive construction of moving frames by I. A. Kogan Orbit reduction of contact ideals and group-invariant variational problems by V. Itskov About the local and formal geometry of PDE by T. Robart Open problems in symmetry analysis by P. A. Clarkson and E. L. Mansfield.