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SUMMARY:Hee Oh
DTSTART:20210810T103000Z
DTEND:20210810T110000Z
DTSTAMP:20260417T010030Z
UID:MSR80/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MSR80/6/">Un
 ipotent flows on homogeneous spaces of infinite volume</a>\nby Hee Oh as p
 art of International Conference on Discrete groups\, Geometry and Arithmet
 ic\n\n\nAbstract\nM. S. Raghunathan conjectured around 1980 that in a homo
 geneous space of a Lie group\nG\, with finite volume\, any orbit closure o
 f a connected subgroup of G generated by unipotent\nelements is homogeneou
 s. This conjecture was settled by M. Ratner around 1990. Looking for\nanal
 ogues of Ratner's theorem in the infinite volume setting is a major challe
 nge. For any n>2\, we\npresent a family of homogeneous spaces of SO(n\,1)\
 , with infinite volume\, in which we classify all\npossible orbit closures
  of any connected subgroup generated by unipotent elements. [This talk is\
 nbased on joint works with McMullen and Mohammadi (for n=3) and with Minju
  Lee (for n>3)].\n
LOCATION:https://researchseminars.org/talk/MSR80/6/
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