Seminar on Geometric Complex Analysis

Seminar information archive ~05/21Next seminarFuture seminars 05/22~

Date, time & place Monday 10:30 - 12:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Kengo Hirachi, Shigeharu Takayama, Genki Hosono

Future seminars

2018/05/28

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Satoshi Nakamura (Tohoku University)
A generalization of K\”ahler Einstein metrics for Fano manifolds with non-vanishing Futaki invariant (JAPANESE)
[ Abstract ]
The existence problem of K\"ahler Einstein metrics for Fano manifolds was one of the central problems in K\"ahler Geometry. The vanishing of the Futaki invariant is known as an obstruction to the existence of K\"ahler Einstein metrics. Generalized K\"ahler Einstein metrics (GKE for short), introduced by Mabuchi in 2000, is a generalization of K\"ahler Einstein metrics for Fano manifolds with non-vanishing Futaki invariant. In this talk, we give the followings:
(i) The positivity for the Hessian of the Ricci Calabi functional which characterizes GKE as its critical points, and its application.
(ii) A criterion for the existence of GKE on toric Fano manifolds from view points of an algebraic stability and an analytic stability.

2018/06/04

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Junjiro Noguchi (The University of Tokyo)
(JAPANESE)

2018/07/02

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Katsuhiko Matsuzaki (Waseda University)
(JAPANESE)

2018/07/09

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Casey Kelleher (Princeton University)
(ENGLISH)