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SUMMARY:Hiroshi Isozaki (University of Tsukuba)
DTSTART:20200723T160000Z
DTEND:20200723T170000Z
DTSTAMP:20260423T035637Z
UID:Inverse/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Inverse/6/">
 Inverse scattering on non-compact manifolds with general metric</a>\nby Hi
 roshi Isozaki (University of Tsukuba) as part of International Zoom Invers
 e Problems Seminar\, UC Irvine\n\n\nAbstract\nWe consider a class of non-c
 ompact Riemannian manifolds\, as large as possible\, whose Laplacian has a
  continuous spectrum\, and show that the associated scattering matrix dete
 rmines the manifold\, its topology and Riemannian metric. Knowledge of one
  end is sufficient to determine the whole manifold. If the end is a cusp\,
  by introducing a generalized S-matrix\, one can derive the same conclusio
 n. We can also allow conic singularities for our manifolds so that they in
 clude Riemannian orbifolds. As for the volume growth of each end\, it can 
 be polynomially or exponentially increasing or decreasing. So\, it is a na
 tural largest class of manifolds on which we can develop the spectral and 
 scattering theory. This is a joint work with Matti Lassas (and Yaroslav Ku
 rylev).\n
LOCATION:https://researchseminars.org/talk/Inverse/6/
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