9I制作厂免费

Title: Medium-Scale Curvature for Cayley Graphs.

In this talk I will be presenting some preliminary results discussing a new notion of curvature for groups. Motivated by Ollivier's interpretation of Ricci curvature in terms of optimal transport, we define a combinatorial analogue of Ricci curvature, and show some elementary properties. This talk will mostly be about exploring the new idea, and discussing some of its quirks and anomalities with respect to more well-known groups and group constructions. This is joint work with M. Duchin and R. Kropholler.