Special Session 88: 

Geometric analysis on metric measure spaces with uniform Ricci bounds from below and applications

Shohei Honda
Tohoku University
Japan
Co-Author(s):    
Abstract:
In this talk we will discuss some spectral properties on metric measure spaces with uniform Ricci bounds from below. Applications include Weyl`s law on such spaces, and continuities of geometric PDEs (including p-Laplace equations for all p) with respect to measured Gromov-Hausdorff convergence. The later one implies estimates for solutions of such PDEs which are new even for smooth manifolds.