Complex Geometry: A Conference Honoring Simon Donaldson

Title: Remarks on hypersurface K-stability
Speaker: Zhiqin Lu
Speaker Info: University of California, Irvine
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Is a smooth hypersurface K-stable? In this talk, we study the K-stability on a hypersurface and its relation to the Chow-Mumford stability. Let $M$ be a smooth hypersurface of $CP^n$; we prove that for any test configuration induced by a generic one-parameter subgroup of $Aut(CP^n)$, the leading term of the Mabuchi energy is always a positive number times $\log|t|$. Our result shows that there should be a deep relation between the Chow-Mumford stability and the K-stability. This is joint work with Duong Phong.
Date: Monday, October 26, 2009
Time: 4:30pm
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