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Title:
Asymptotic geometry and large isoperimetric regions
Speaker:
Abstract:
In spite of the long history of the isoperimetric problem, the list of manifolds where isoperimetric regions are well understood is remarkably short. In this talk, I will discuss the following question: “If a Riemannian manifold (M,g) is asymptotic at infinity to a space in which the isoperimetric regions are understood, can we determine the large isoperimetric regions in (M,g)?” I’ll discuss some positive and negative answers to this question for various asymptotic geometries. Some of these results are joint work with Michael Eichmair and Alex Volkmann.
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