The Ricci curvature is a fundamental notion in Riemannian geometry. It is also an essential ingredient in Einstein’s formulation of general relativity. Lower Ricci curvature bounds on a Riemannian manifold allow one to extract various global geometric and topological information. The notion of Ricci curvature or its lower bound has been extended in various ways to general metric measure spaces including graphs. There have been many successful attempts at defining curvature on a graph; such as Bakry-Émery curvature dimension inequalities, Ollivier-Ricci curvature, Forman curvature, entropic curvature and more.
Future Directions in Graph Curvature 2022 is a 2 day workshop centred around recent developments in the theory of graph curvature with respect to any of the studied notions whilst also having an emphasis on the future direction the field may take.
Day 1 of the workshop will take place in Newcastle university on the afternoon of 22/07/2022 and day 2 will take place in Durham university on the morning and early afternoon of 23/07/2022. All talks will be broadcast on zoom to allow people to attend virtually. There will also be talks given remotely over zoom and broadcast to Newcastle to Durham.
For more information or show your interest in registering for the workshop please contact david.cushing1 (at) newcastle.ac.uk