Date: Friday, April 05, 2013
Location: 3096 East Hall (3:00 PM to 4:00 PM)
Title: Filtrations and test-configurations
Abstract: Test-configurations are certain degenerations of projective
manifolds, 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.
Speaker: Gabor Szekelyhidi
Institution: Notre Dame
Event Organizer: Spatzier
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