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| 開催情報 | 金曜日 10:00～11:30 数理科学研究科棟(駒場) 126号室 |
|---|---|
| 担当者 | 植田一石，金井雅彦，二木昭人 |
| 備考 | 開始時間と開催場所などは変更されることがあるので, セミナーごとにご確認ください. |
2015年07月24日(金)
10:00-11:30 数理科学研究科棟(駒場) 126号室
高津飛鳥 氏 (首都大学東京)
High-dimensional metric-measure limit of Stiefel manifolds (Japanese)
高津飛鳥 氏 (首都大学東京)
High-dimensional metric-measure limit of Stiefel manifolds (Japanese)
[ 講演概要 ]
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).
