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SUMMARY:Cartan Projections of some Nonreductive Subgroups
DTSTART;VALUE=DATE-TIME:20200128T103000Z
DTEND;VALUE=DATE-TIME:20200128T113000Z
DTSTAMP;VALUE=DATE-TIME:20210414T010344Z
UID:indico-event-5596@indico.math.cnrs.fr
DESCRIPTION:Let G be a real reductive Lie group and H a closed subgroup of
G. According to the Benoist-Kobayashi criterion\, the properness of an ac
tion on G/H is controlled by the Cartan projection of H. In this talk\, we
give some examples of closed subgroups that are not reductive in G but wh
ose Cartan projection is computable (one example is an abelian horospheric
al subgroup of G). Applying these nonreductive subgroups\, we show that so
me homogeneous spaces of reductive type do not have compact Clifford-Klein
forms.\n\nhttps://indico.math.cnrs.fr/event/5596/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/5596/
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