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SUMMARY:Juan Manuel Lorenzo Naveiro (University of Oklahoma)
DTSTART:20261104T170000Z
DTEND:20261104T180000Z
DTSTAMP:20261023T155850Z
UID:VSGS/144
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/144/">P
 olar homogeneous foliations on hyperbolic spaces</a>\nby Juan Manuel Loren
 zo Naveiro (University of Oklahoma) as part of Virtual seminar on geometry
  with symmetries\n\n\nAbstract\nAn isometric action of a Lie group on a Ri
 emannian manifold is polar if it admits a section (that is\, a submanifold
  that meets every orbit orthogonally). These actions generalize several we
 ll-known concepts in geometry\, such as the polar coordinate system in the
  Euclidean plane or the spectral theorem for self-adjoint operators. Becau
 se of this\, an active research topic has been the classification of polar
  actions on Riemannian manifolds with a relatively large group of isometri
 es\, such as symmetric spaces.\n\nIn this talk\, I will discuss a joint wo
 rk work with José Carlos Díaz-Ramos (Universidade de Santiago de Compost
 ela) in which we classify polar actions without singular orbits (also know
 n as polar homogeneous foliations) on quaternionic hyperbolic spaces and t
 he Cayley hyperbolic plane. This result closes the classification problem 
 for such actions on symmetric spaces of noncompact type and rank one.\n
LOCATION:https://researchseminars.org/talk/VSGS/144/
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