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On the L2 estimates on moduli space of Calabi-Yau manifolds


Speaker: Zhiqin Lu, UC Irvine
Location: 2112 MSB
Start time: Tue, Feb 2 2016, 1:10PM

Abstract: I will talk about my recent result on the L2 estimates joint with Hang Xu. In the first part of the talk, I will introduce the L2 estimates on noncomplete Kahler manifolds, after we prove that the self-adjoint extensions of holomorphic bundle-valued Laplacians on moduli space of polarized Kahler manifolds are unique. Then we shall use the result to prove that the holomorphic sections of the Hodge bundles over moduli spaces are of polynomial growth.