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Perturbations of manifolds and spectral convergence
编辑:林煜发布时间:2019年03月26日

Speaker:Olaf Post(University of Trier

Time:2019-03-26,15:00

Location:Conference Room 108 at Experiment Building at Haiyun Campus

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).