Geometry Colloquium

Seminar information archive ~03/28Next seminarFuture seminars 03/29~

Date, time & place Friday 10:00 - 11:30 126Room #126 (Graduate School of Math. Sci. Bldg.)

2015/10/02

10:00-11:30   Room #126 (Graduate School of Math. Sci. Bldg.)
Takahashi Ryosuke (Nagoya University, Graduate School of Mathematics)
Asymptotic stability for K¥"ahler-Ricci solitons (Japanese)
[ Abstract ]
K¥"ahler-Ricci solitons arise from the geometric analysis, such as Hamilton’s Ricci flow, and have been studied extensively in recent years. It is expected that the existence of a canonical metric is closely related to some GIT stability of manifolds. For instance, Donaldson showed that any cscK polarized manifold with discrete automorphisms admits a sequence of balanced metrics and this sequence converges to the cscK metric. In this talk, we explain that the same result holds for K¥ahler-Ricci solitons. This generalizes a previous work of Berman-Witt Nystr¥"om, and is an analogous result on asymptotic relative Chow stability for extremal metrics obtained by Mabuchi.