BZ Seminar in Analysis: Nicola Gigli (Nice)

Analytic tools for the study of spaces with Ricci curvature bounded from below

The seminar aims to give an overview on some recently result concerning analysis over non-smooth metric measure spaces with Ricci curvature bounded from below. The discussion will comprehend the following topics:

• heat flow
• stability properties
• differentials and gradients in a non-smooth world
• Laplacian comparison estimates

If time permits, some consequences in terms of the geometry of these spaces will also be given.

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