Date: 
July 3, 2008, 15:30  17:00 
Place: 
Seminar Room at IPMU Prefab. B, Kashiwa Campus of the University of Tokyo 
Speaker: 
Yuji Sano (IPMU) 
Title: 
On multiplier ideal sheaves on toric Fano manifolds.

Abstract: 
In the existence problem of KahlerEinstein metrics
on compact Kahler manifolds, the case of Fano manifolds is still open.
It is conjectured that the existence of canonical Kahler metrics
including KE metrics
would be equivalent to stability of manifold in the sense of Geometric
Invariant Theory. Multiplier ideal sheaves (MIS) can be considered as a tool
to describe the bubbling off set in the continuity method/KahlerRicci flow
and it is expected that MIS would be related to stability of manifolds.
In this talk, I would like to discuss the support of MIS induced from
the continuity method on toric Fano manifolds.
This talk will be based on a part of the joint work with Akito Futaki.
