Title: An example of asymptotically Chow unstable manifolds with constant scalar curvature

Speaker: Dr. Naoto Yotsutani(University of Science and Technology of China)

Time: Aug 25, Thursday, 2011,15:30-16:30pm

Venue: Room 1328 at BICMR, Resource Plaza, Peking University

Abstract：Donaldson proved that if a polarized manifold (X,L) has constant scalar curvature Kahler metrics in c_1(L) and its automorphism group Aut(X,L) is discrete, (X,L) is asymptotically Chow stable. In this talk, I will show an example of Kahler-Einstein toric Fano manifold X such that (X, -K_X) is asymptotically Chow unstable. This implies that Donaldson's result does not hold in the case where automorphism group is not discrete. This is joint work with Hajime Ono and Yuji Sano.