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Geometric analysis on stratified spaces

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Speaker: 
Ilaria Mondello
Affiliation: 
Université de Paris-Est Créteil
Date: 
Thu, 2017-09-21 16:30 - 17:00
Location: 
MPIM Lecture Hall

Stratified spaces are metric spaces that have been introduced first in the context of topology (H.~Whitney, R.~Thom), and later have been studied from an analytical point of view (J.~Cheeger, R.~Melrose, R.~Mazzeo...), as a generalization of isolated conical singularities. They also appears as quotients or limits of smooth Riemannian manifolds. In this talk I will give an introduction to the setting of stratified spaces and describe some geometric analysis results related to the spectrum of the Laplacian and Sobolev inequalities.

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