course: Stability and uniqueness of extremal Kaehler metrics on a polarized algebraic manifold

speaker: Toshiki Mabuchi (Department of Mathematics, Osaka University)

abstract: 1. A quantization method by Donaldson for the stability problem (a balanced metric as a finite dimensional analogue of a Kaehler metrics of constant scalar curvature)

2. An obstruction to asymptotic semistability of a polarized algebraic manifold, and the associated integral invariants

3. Extremal Kaehler metrics and asymptotic weighted Bergman kernels

4. The second fundamental form in the geometry of Kaehler potentials, and its application to the uniqueness problem

timetable:
Tue 7 Sep, 9:45 - 10:45, Sala Conferenze Centro De Giorgi
Wed 8 Sep, 11:15 - 12:15, Sala Conferenze Centro De Giorgi
Thu 9 Sep, 15:30 - 16:30, Sala Conferenze Centro De Giorgi
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