Embedding Riemannian Manifolds with Heat Kernels and Eigenfunctions
Jacobus W Portegies(Ph.D. Candidate at NYU's CIMS)
2018-01-01 12:13 华东师范大学
LITERATURE AND WORKING SEMINAR
ABSTRACT OF THE TALK
We will discuss how any closed Riemannian Manifold can be embedded in Euclidean space either using the first N eigenfunctions of the Laplace operator, or the heat kernels from N points on the manifold. Here, N only depends on the dimension, the volume, the injectivity radius and a lower bound on the Ricci Curvature.
BIOGRAPHY
Jacobus Portegies is a Ph.D. candidate at NYU’s Courant Institute of Mathematical Sciences, working under Fanghua Lin. He received his M.S. in Applied Mathematics and Physics from Eindhoven University of Technology in 2009. He is visiting NYU Shanghai for the Fall 2013 semester.
