Synthetic theory of Ricci curvature bounds (Q337842)

The author provides a review of synthetic theory of Ricci curvature bounds, from its birth to some of latest developments. More precisely, the survey contains the following: Explanation of the term ``synthetic'', review of the four fields involved, summary of the way the interaction takes place, fundamentals of the theory, review of connections to some other geometric theories, discussion of future possible directions, selection of landmark references in the field.