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SUMMARY:Reconstruction of generic anisotropic stiffness tensors from parti
 al data around one polarization - Maarten de Hoop (Rice University)
DTSTART:20230131T153000Z
DTEND:20230131T161500Z
UID:TALK194527@talks.cam.ac.uk
DESCRIPTION:We combine techniques from algebraic geometry and microlocal a
 nalysis to study geometric inverse problems associated with wave propagati
 on in anisotropic elastic media using a single\, namely qP\, polarization.
  The Christoffel matrix determined by the stiffness tensor appearing in th
 e analysis of propagation of singularities of elastic waves generates a sl
 owness polynomial. Generic anisotropy ensures a certain "algebraic couplin
 g" between the branches of the slowness surface determined by this polynom
 ial\, on which our approach relies. The qP branch of the slowness surface 
 determines a metric in Finsler geometry. The recovery of the stiffness ten
 sor from the slowness surface uses Gr&ouml\;bner bases.\n&nbsp\;\nJoint re
 search with J. Ilmavirta\, M. Lassas and A. V&aacute\;rilly-Alvarado.
LOCATION:Seminar Room 1\, Newton Institute
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