EVENT DETAILS AND ABSTRACT

Title: Remarks on hypersurface K-stability
Speaker: Zhiqin Lu
Speaker Info: University of California, Irvine
Brief Description:
Special Note:
Abstract:

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.