Spaces with Ricci curvature lower bounds, pt. 1
Introductory Workshop: New Frontiers in Curvature August 26, 2024 - August 30, 2024
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Spaces with Ricci curvature lower bounds, pt. 1
Ricci curvature lies between the sectional curvature and scalar curvature. It occurs naturally in Einstein equation, Ricci flow, optimal transport. We will review the basic tools (Bochner's formula, comparison inequalities) and survey many geometric inequalities (Neumann eigenvalue comparison, Brunn-Minkowski, Sobolev inequalities etc.), topological properties and examples in the smooth and nonsmooth settings.
Spaces with Ricci curvature lower bounds, pt. 1
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