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Geometry Colloquium
Seminar information archive ～10/15｜Next seminar｜Future seminars 10/16～
| Date, time & place | Friday 10:00 - 11:30 126Room #126 (Graduate School of Math. Sci. Bldg.) |
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2015/07/24
10:00-11:30 Room #126 (Graduate School of Math. Sci. Bldg.)
Asuka Takatsu (Tokyo Metropolitan University)
High-dimensional metric-measure limit of Stiefel manifolds (Japanese)
Asuka Takatsu (Tokyo Metropolitan University)
High-dimensional metric-measure limit of Stiefel manifolds (Japanese)
[ Abstract ]
A metric measure space is the triple of a complete separable metric space with a Borel measure on this 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 and specify the high-dimensional limit of Stiefel manifolds in the sense of this convergence; the limit is the infinite-dimensional Gaussian space, which is drastically different from the manifolds. This is a joint work with Takashi SHIOYA (Tohoku univ).
A metric measure space is the triple of a complete separable metric space with a Borel measure on this 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 and specify the high-dimensional limit of Stiefel manifolds in the sense of this convergence; the limit is the infinite-dimensional Gaussian space, which is drastically different from the manifolds. This is a joint work with Takashi SHIOYA (Tohoku univ).
