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Seminars

High-dimensional metric-measure limit of Stiefel and Grassmann manifolds

Hold Date
2017-02-17 16:00〜2017-02-17 17:30
Place
Seminar Room W1-D-725, West Zone 1, Ito campus, Kyushu University
Object person
 
Speaker
Asuka TAKATSU (Tokyo Metropolitan University)

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).