Examples of branching metric spaces with Ricci curvature lower bounds.

Tapio Rajala

(University of Jyväskylä)

Event: ERC Workshop on Optimal Transportation and Applications

Date: Oct 30, 2014, time: 12:10

Abstract. In this talk I will discuss the role of the non-branching assumption in MCP(K,N)
and CD(K,N) spaces via examples that are subsets of the plane with the supremum norm.
The focus will be on the local-to-global property, splitting and maximal diameter theo-
rems, dimensions, tangents and existence of optimal transport maps. Part of the results
are joint work with Christian Ketterer