Tuesday Seminar on Topology

Seminar information archive ~04/26Next seminarFuture seminars 04/27~

Date, time & place Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.)
Organizer(s) KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya

2013/01/21

16:30-17:30   Room #002 (Graduate School of Math. Sci. Bldg.)
Naoki Kato (The University of Tokyo
)
Lie foliations transversely modeled on nilpotent Lie
algebras
(JAPANESE)
[ Abstract ]
To each Lie $\\mathfrak{g}$-foliation, there is an associated subalgebra
$\\mathfrak{h}$ of $\\mathfrak{g}$ with the foliation, which is called the
structure Lie algabra. In this talk, we will explain the inverse problem,
that is, which pair $(\\mathfrak{g},\\mathfrak{h})$ can be realized as a
Lie $\\mathfrak{g}$-foliation with the structure Lie algabra $\\mathfrak{h}
$, under the assumption that $\\mathfrak{g}$ is nilpotent.