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University of Cambridge > Talks.cam > Algebraic Geometry Seminar > Filtrations and test-configurations

## Filtrations and test-configurationsAdd to your list(s) Download to your calendar using vCal - Gabor Szekelyhidi (Notre Dame)
- Wednesday 16 May 2012, 14:15-15:15
- MR 13, CMS.
If you have a question about this talk, please contact Caucher Birkar. 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. This talk is part of the Algebraic Geometry Seminar series. ## This talk is included in these lists:- Algebraic Geometry Seminar
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