The interplay between disorder and localization is a fundamental problem of condensed matter physics. Strongly disordered insulators exhibit many unique properties that either emerge from an increased level of disorder or, on the contrary, retain the features of their cleaner counterparts. Understanding how these insulators develop and how they respond to external excitations (or perturbations) is still a theoretical and an experimental challenge. Similarly, the evolution of the superconducting order parameter with disorder is a question that continues to be animatedly discussed in the case of strongly disordered superconductors.

The mini-colloquium aims at gathering world-known experts to address topics that have recently emerged thanks to innovative experimental techniques, fabrication of novel materials and theoretical progress on the physics of strongly disordered and low dimensional systems.

Specific topics include:

• Electron glasses
• Anderson localization
• Many-body localization
• Metal-insulator
• Superconductor-insulator transitions
• Disordered superconductors
• Topological insulators
• Cold atoms and ions
• Low-dimensional systems