Title：Almost constancy of eigenfunctions of collapsing Einstein manifolds

Speaker：Shaosai Huang  （University of Wisconsin-Madison）

Time：2019年7月26日           上午    10:00-11:00

Room：东区管理科研楼   数学科学学院1318室

Abstract：In 1987, Fukaya proved the continuity of eigenvalues of Riemannian manifolds with uniformly bounded curvature and diameter with respect to the measured Gromov-Hausdorff topology. With the major concern being a sequence of collapsing Riemannian manifolds, his result was based on a so-called key estimate, asserting that the eigenfunctions are almost constant along those collapsing directions. In this talk, we discuss a generalization of Fukaya's key lemma to the setting of collapsing Einstein manifolds, without assuming a uniform curvature bound.

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