分野別セミナー

Abstract:
A metric measure space is the triple of a complete separable metric space with a Borel measure on the space. Gromov defined a concept of convergence of metric measure spaces by the convergence of the sets of 1-Lipschitz functions on the spaces. We study the high-dimensional limit of Stiefel and Grassmann manifolds in the sense of this convergence; the limits are either the infinite-dimensional Gaussian space or its quotient by an mm-isomorphic group action, which are drastically different from the manifolds.
This is a joint work with Takashi SHIOYA (Tohoku University).