Introduction -- Algebraic versus analytic basicness -- Notes on the space of real places of a formally real field -- On real holomorphy rings -- Some practical tools for algebraic geometry -- Thorn's first isotopy lemma: a semialgebraic version, with uniform bound -- Lattice-ordered rings and semialgebraic geometry: I -- Bounds for the number of connected components of a family of differentiable manifolds -- Voronoi computability in SE(3) -- On the Gabrielov theorem for subpfaffian sets -- Groups of monodromy of non-singular curves of degree 6 -- Blowing-up construction of maximal smoothings of real plane curve singularities -- Linear bounds for resolutions of 1-boundaries in subanalytic sets -- Stewart platforms without computer? -- Construction of real algebraic nodal plane curves with given topology -- Purity theorems for real spectra and applications -- Geometry of subanalytic and semialgebraic sets: abstract -- On good points and a new canonical algorithm of resolution of singularities -- List of Contributors -- List of Participants.