Monday Analysis Seminar (2019/1/9) Embedding of metric measure spaces in $L^2$ via eigenfunctions

Date
2019-1-9 16:30 - 2019-1-9 18:00
Place
Faculty of Science Building #3 Room 413
Speaker/Organizer
Honda Shohei (Tohoku University)
 
Berard-Besson-Gallot proved that any closed Riemannian manifold can be embedded canonically in $L^2$ via heat kernels/eigenfunctions and that the pullback metrics approximate the original Riemannian metric. In this talk, we generalize this to singular spaces with Ricci bounds from below. Applications include quantitative convergence results for the pullback metrics which are new even for closed Riemannian manifolds.

Keywords: Ricci curvature, Laplacian, metric measure spaces

Different place and day of the week.
Monday Analysis Seminar