There was significant overlap between the scientific topics of the two activities, and several people took part in both of them. Both workshops prominently featured geometric PDEs, with particular focus on those that arise on homogeneous spaces. Lie-theoretic methods played an important role. Cartan geometries appeared as a fruitful setting in which to study problems of interest for both events. Finally, both workshops featured geometry relevant to mathematical physics, including general

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... ity. We choose to group the articles in this volume around three central topics: integrable systems, pseudo-Riemannian and conformal geometry, and Cartan geometries as a general framework in which to study geometric structures. *