High-order methods are attractive for the numerical solution of partial differential equations, offering accurate discretization of curvilinear geometries at a lower computational cost than low-order approaches for a given accuracy. Despite this promise, high-order mesh generation remains a significant bottleneck, particularly for complex, real-world configurations. Problems involving transient geometry and/or solution features add a further layer of difficulty, since no single static mesh can efficiently resolve the full range of scales and features encountered throughout a simulation. High-order mesh adaptation, through h-, r- and p-adaptivity, and combinations thereof, offers a route to accurate, efficient solutions without the cost of repeatedly regenerating meshes from scratch. This minisymposium provides a forum to discuss recent advances in high-order mesh generation and adaptation, bringing together leading academic and industrial experts. Topics of interest include, but are not limited to: geometry handling and CAD integration for high-order workflows; curvilinear mesh generation and validity/untangling techniques; the use of machine learning to assist in high-order meshing; mesh curving strategies for complex and industrial-scale configurations; boundary layer and hybrid mesh generation; anisotropic and metric-based adaptation; error estimation to drive adaptive strategies; r-adaptivity and mesh deformation for moving/deforming domains; hp-adaptivity and its integration with high-order solvers. Last, applications of high-order meshing and adaptation algorithms for large-scale, parallel or industrial test-cases are encouraged.