The workshop is meant to survey the use of spectral spaces in real and p-adic geometry. Real Algebraic, Real Analytic as well as Rigid Geometry have benefitted from the successful evolution of several variants of the classical concept of the Zariski spectrum of a ring. The real spectrum, the valuation spectrum and other spectra of rings give rise to spectral spaces, which are used, e.g., extensively in Real Algebraic Geometry and also in Rigid Geometry.
More recent applications deal with o-minimal structures and lower bounds in complexity theory.
The state of the art will be presented by surveys as well as research talks.