本文印刷
全画面プリント
講演会
過去の記録 ～04/19｜次回の予定｜今後の予定 04/20～
2010年11月02日(火)
13:00-16:10 数理科学研究科棟(駒場) 122号室
Vladimir Bogachev 氏 (Moscow)
The Malliavin calculus on configuration spaces and applications (ENGLISH)
Vladimir Bogachev 氏 (Moscow)
The Malliavin calculus on configuration spaces and applications (ENGLISH)
[ 講演概要 ]
It is planned to discuss first a general scheme of the Malliavin
calculus on an abstract measurable
manifold with minimal assumptions about the manifold.
Then a practical realization of this scheme will be discussed in
several concrete examples with emphasis
on configuration spaces, i.e., spaces of locally finite configurations
in a given manifold (for example, just
a finite-dimensional Euclidean space), which can be alternatively
described as the spaces of integer-valued
discrete measures equipped with suitable differential structures.
No acquaintance with the Malliavin calculus and differential geometry
is assumed.
It is planned to discuss first a general scheme of the Malliavin
calculus on an abstract measurable
manifold with minimal assumptions about the manifold.
Then a practical realization of this scheme will be discussed in
several concrete examples with emphasis
on configuration spaces, i.e., spaces of locally finite configurations
in a given manifold (for example, just
a finite-dimensional Euclidean space), which can be alternatively
described as the spaces of integer-valued
discrete measures equipped with suitable differential structures.
No acquaintance with the Malliavin calculus and differential geometry
is assumed.
