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The Calabi Conjecture on QAC spaces
发布时间：2015年09月08日
浏览次数：10914
发布者:
主讲人： Anda Degeratu, University of Freiburg 对照阅读
活动时间： 从 2015-09-08 10:00 到 12:00 继续了解
场地： Room 29, Quan Zhai, BICMR 延伸阅读
Time: 10:10am-12:00pm, Tuesday, September 8th.
Place: Room 29, Quan Zhai, BICMR
Speaker: Anda Degeratu, University of Freiburg
Abstract: In this talk I will introduce the class of quasi-asymptotically conical (QAC) manifolds, a less rigid Riemannian formulation of the QALE geometries introduced by Joyce in his study of crepant resolutions of Calabi-Yau orbifolds. Our set-up is in the category of real stratified spaces and Riemannian geometry. Given a QAC manifold, we identify the appropriate weighted Sobolev spaces, for which we prove the finite dimensionality of the null space for generalized Laplacian as well as their Fredholmness. We then use this to prove existence and uniqueness of solutions to Monge-Ampere equation.
