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SUMMARY:Jesús Núñez Zimbrón (Universidad Nacional Autónoma de México
 )
DTSTART:20250514T160000Z
DTEND:20250514T170000Z
DTSTAMP:20260423T035916Z
UID:VSGS/112
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/112/">C
 ohomogeneity one RCD spaces</a>\nby Jesús Núñez Zimbrón (Universidad N
 acional Autónoma de México) as part of Virtual seminar on geometry with 
 symmetries\n\n\nAbstract\nI will speak about joint work with Diego Corro a
 nd Jaime Santos in which we study RCD-spaces $(X\,d\,m)$ with group action
 s by isometries preserving the reference measure $m$ and whose orbit space
  has dimension one\, i.e. cohomogeneity one actions. RCD spaces are metric
  measure spaces with a notion of "Ricci curvature bounded below and dimens
 ion bounded above". In the talk I will mention a version of the Slice Theo
 rem for cohomogeneity one spaces that we show and then use to obtain topol
 ogical structural results analogous to those available in the smooth setti
 ng. I will also mention how to construct new cohomogeneity one RCD-spaces.
  As an application of these results we obtain the classification of cohomo
 geneity one\, "non-collapsed" RCD-spaces of dimension at most $4$.\n
LOCATION:https://researchseminars.org/talk/VSGS/112/
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