Comparison geometry for Ricci curvature I
Introductory Workshop: Modern Riemannian Geometry January 18, 2016  January 22, 2016
Location: SLMath: Eisenbud Auditorium
differential geometry
Riemannian geometry
modern geometry
curvature
curvature estimates
Ricci curvature
Ricci curvature lower bounds
BishopGromov volume
heat kernel eigenvalues
14422
Ricci curvature occurs in the Einstein equation, Ricci flow, optimal transport, and is important both in mathematics and physics. Comparison method is one of the key tools in studying the Ricci curvature. We will start with Bochner formula and derive Laplacian comparison, BishopGromov volume comparison, first eigenvalue and heat kernel comparison and some application. Then we will discuss some of its generalizations to BakryEmery Ricci curvature and integral Ricci curvature
Wei Notes

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