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SUMMARY:Tomás Otero (Universität Münster)
DTSTART:20260325T160000Z
DTEND:20260325T170000Z
DTSTAMP:20260423T052929Z
UID:VSGS/128
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/128/">C
 ohomogeneity-one actions on symmetric spaces</a>\nby Tomás Otero (Univers
 ität Münster) as part of Virtual seminar on geometry with symmetries\n\n
 \nAbstract\nIn this talk\, I will report on recent developments on the cla
 ssification of cohomogeneity-one actions on symmetric spaces. The focus wi
 ll be on symmetric spaces of noncompact type and of "mixed type" (i.e. tho
 se whose universal cover splits as a nontrivial product $\\widetilde{M}=M_
 +\\times M_0\\times M_-$\, with $M_+$ of compact type\, $M_0$ a Euclidean 
 space\, and $M_-$ of noncompact type). For the former spaces a complete cl
 assification was recently obtained by Sanmartín-López and Solonenko. For
  the latter\, in an upcoming work with Ivan Solonenko and Hiroshi Tamaru\,
  we show that cohomogeneity-one actions split with respect to the aforemen
 tioned decomposition\, with the only exception of a family of "diagonal" a
 ctions (which we parameterize explicitly).\n
LOCATION:https://researchseminars.org/talk/VSGS/128/
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