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SUMMARY:Juan Sebastián Rodríguez (Pontificia Universidad Javeriana)
DTSTART:20240424T130000Z
DTEND:20240424T140000Z
DTSTAMP:20260423T052832Z
UID:VSGS/89
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/89/">Is
 ospectrality in Symmetric Spaces</a>\nby Juan Sebastián Rodríguez (Ponti
 ficia Universidad Javeriana) as part of Virtual seminar on geometry with s
 ymmetries\n\n\nAbstract\nFor a Riemannian manifold $(M\,g)$\, we define it
 s spectrum as the spectrum of the Laplace–Beltrami operator $\\Delta_g$.
  We say that two Riemannian manifolds are isospectral if their spectra are
  equal. A fundamental problem in spectral geometry is to describe the isos
 pectral class of distinguishable Riemannian manifolds.\n\nIn this talk\, w
 e study two families of homogeneous metrics on the manifolds $\\mathrm{SO}
 (2n+2)/\\mathrm{U}(n+1)$ and $\\mathrm{SU}(2n+2)/\\mathrm{Sp}(n+1)$. Using
  Lie theoretical methods\, we describe the spectrum of each metric within 
 these families and establish results regarding spectral uniqueness. This r
 esearch is conducted jointly with Emilio Lauret\, PhD (Universidad Naciona
 l del Sur\, Argentina).\n
LOCATION:https://researchseminars.org/talk/VSGS/89/
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