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UID:8416@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20140328T110000
DTEND;TZID=Europe/Paris:20140328T123000
DTSTAMP:20241120T210407Z
URL:https://www.i2m.univ-amu.fr/evenements/the-dynamics-of-non-strictly-co
 nvex-hilbert-geometries/
SUMMARY: (...): The dynamics of non-strictly convex Hilbert geometries
DESCRIPTION:: Any open\, properly convex domain $\\Omega$ in $\\R\\P^n$ adm
 its a Hilbert metric\, compatible with a Finsler norm. Of particular inter
 est are compact quotients of $\\Omega$ by discrete subgroups of $\\PGL(n+1
 \,\\R)$. The dynamical\, topological\, algebraic\, and regularity properti
 es of such quotients with the line flow have been exhaustively studied by 
 Benoist and others in the case that $\\Omega$ is strictly convex and conse
 quently $\\delta$-hyperbolic. My agenda is to expand previous studies to t
 he convex but not strictly convex case for $\\Omega$. In this talk\, I wil
 l introduce aclass of higher dimensional examples\, constructed by Benoist
 \, which exhibit some hyperbolicity properties. I will explicitly describe
  the topological and ergodic dynamical properties of the line flow on the 
 projective triangle\, which plays a focal role as an obstruction to hyperb
 olicity in the non-strictly convex examples of Benoist. I will assure you 
 that we expect this obstruction to be surmountable.http://webhosting.math.
 tufts.edu/sbray/Sarah Bray
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DTSTART:20131027T020000
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