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Gabor Szekelyhidi (Notre Dame)
Wednesday 16 May 2012, 14:15-15:15
Filtrations and test-configurations
- đ¤ Speaker: Gabor Szekelyhidi (Notre Dame)
- đ Date & Time: Wednesday 16 May 2012, 14:15 - 15:15
- đ Venue: MR 13, CMS
Abstract
Test-configurations are certain degenerations of projective manifolds, which are used in the definition of K-stability, which in turn is related to the existence of special metrics. I will explain how filtrations of the homogeneous coordinate ring of a projective manifold can be thought of as sequences of test-configurations, and that they encode the limiting behavior of these sequences. Such filtrations arise naturally when studying the Calabi flow, or when trying to minimize the Calabi functional. I will also discuss how filtrations can be used to give a strengthening of the notion of K-stability, and why this is desirable.
Series This talk is part of the Algebraic Geometry Seminar series.
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