Algebraic approximations to special Kahler metrics
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Thu, 18/11/2010 13:00 |
Stuart J Hall ((Imperial College, London)) |
Junior Geometry and Topology Seminar  |
SR1 |
| I will begin by defining the space of algebraic metrics in a particular Kahler class and recalling the Tian-Ruan-Zelditch result saying that they are dense in the space of all Kahler metrics in this class. I will then discuss the relationship between some special algebraic metrics called 'balanced metrics' and distinguished Kahler metrics (Extremal metrics, cscK, Kahler-Ricci solitons...). Finally I will talk about some numerical algorithms due to Simon Donaldson for finding explicit examples of these balanced metrics (possibly with some pictures). | |||