Asymptotic geometry and large isoperimetric regions

Asymptotic geometry and large isoperimetric regions

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Otis Chodosh, Stanford University
Fine Hall 314

This is an additional talk on this date.  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.