1 h 1 min
From local discrete curvature notions of graphs to global properties of the underlying spaces
Geometry, Differential Geometry and seminar by Norbert Peyerimhoff, Durham University
Monday 11:30 Los Angeles (GMT-7)
Recording available
Berkeley, United States
Recording
Abstract
Ollivier and Bakry–Émery curvature can be computed from local graph structure. This talk explains how those notions constrain global diameter and Laplace-spectrum properties, relates the bounds to Riemannian comparison theorems, and considers classification questions for spaces attaining equality.
Topics
Bakry–Émery curvaturelocal graph structureglobal diameterRiemannian comparison theoremsclassification questionsspaces attaining equality