Seminar on Geometric Complex Analysis

Seminar information archive ~11/02Next seminarFuture seminars 11/03~

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

2017/12/18

10:30-12:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Tomoyuki Hisamoto (Nagoya University)
Gradient flow of the Ding functional
[ Abstract ]
This is a joint work with T. Collins and R. Takahashi. We introduce the flow in the title to study the stability of a Fano manifold. The first result is the long-time existence of the flow. In the stable case it then converges to the Kähler-Einstein metric. In general the flow is expected to produce the optimally destabilizing degeneration of a Fano manifold. We confirm this expectation in the toric case.