Perturbations of manifolds and spectral convergence

：Olaf Post教授
：2019-03-26 15:00
：实验楼108

        Speaker：Prof.Olaf Post

                         德国Trier大学

Title: Perturbations of manifolds spectral convergence

Time：26 March 2019,15:00

Location： 海韵实验楼108

Abstract: In this talk I will present some recent results on wildly perturbed manifolds such as removing many little obstacles or adding small handles. We show that Laplacians on such perturbed spaces converge in a generalised norm resolvent sense to either the original space (when the perturbation has no effect) or a modified one (when the perturbation has an effect). The talk is based on joint works with Colette Anné(Nantes) Andrii Khrabustovskyi (Graz).

Speaker Introduction：Olaf Post于Braunschweig理工大学取得博士学位。2009年奥拉夫在柏林洪堡大学取得教授申请资格，论文方向为薄的网络结构和极限值。在特里尔大学Post教授的研究领域主要是拓展基于应用视角的几何分析，尤其是网络的数学分析。此外他也研究所有的数学应用。