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SUMMARY:Miguel Domínguez Vázquez (University of Santiago de Compostela)
DTSTART:20220126T160000Z
DTEND:20220126T170000Z
DTSTAMP:20260423T052930Z
UID:VSGS/45
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/45/">Co
 homogeneity one actions on symmetric spaces of noncompact type</a>\nby Mig
 uel Domínguez Vázquez (University of Santiago de Compostela) as part of 
 Virtual seminar on geometry with symmetries\n\n\nAbstract\nThe classificat
 ion of cohomogeneity one actions (up to orbit equivalence) on real hyperbo
 lic spaces is known since Cartan's investigation of isoparametric hypersur
 faces in the late 1930s. The analogous classification for the other rank o
 ne symmetric spaces of noncompact type was only concluded very recently. F
 or higher rank\, several partial results have been obtained by Berndt and 
 Tamaru\, but complete classifications are only known for some rank two irr
 educible spaces.\n\nIn this talk I will report on a joint work in progress
  with J. Carlos Díaz-Ramos and Tomás Otero-Casal where we provide a new 
 structural result for cohomogeneity one actions on symmetric spaces of non
 compact type and arbitrary rank. This allows us to derive the classificati
 on on the spaces SL(n\,R)/SO(n) and to reduce the problem on a reducible s
 pace to the classification on each one of its factors.\n
LOCATION:https://researchseminars.org/talk/VSGS/45/
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