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SUMMARY:Olivier Glorieux (IHES)
DTSTART:20200519T140000Z
DTEND:20200519T150000Z
DTSTAMP:20260423T021039Z
UID:Geometry/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geometry/1/"
 >Critical exponents in higher rank symmetric spaces</a>\nby Olivier Glorie
 ux (IHES) as part of Pangolin seminar\n\n\nAbstract\nThe aim of the talk i
 s to present some recent results on critical exponents for discrete subgro
 ups of higher rank semisimple Lie groups. We will survey classical results
  in negative curvature\, the relationship with entropy and the Hausdorff d
 imension of limit sets. Then we will introduce the geometric properties of
  higher rank symmetric spaces and explain the main differences with strict
  negative curvature. We will focus on two different results : the behaviou
 r of the critical exponent under normal subgroup (j.w. S. Tapie) and the e
 xtension of classical results to pseudo-riemannian geometry (j.w. D. Moncl
 air).\n
LOCATION:https://researchseminars.org/talk/Geometry/1/
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