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SUMMARY:Entropy\, holomorphic convexity\, and locally symmetric spaces
DTSTART:20260416T083000Z
DTEND:20260416T093000Z
DTSTAMP:20260412T032300Z
UID:indico-event-15389@indico.math.cnrs.fr
DESCRIPTION:Speakers: William Sarem (Université de Grenoble)\n\nLet $X = 
 G/K$ be a Hermitian symmetric space of noncompact type (in rank one\, $X$ 
 is the unit ball in $\\mathbb{C}^n$ and $G$ is the group $\\mathrm{PU}(n\,
 1)$)\, and let $\\Gamma$ be a discrete and torsion-free subgroup of $G$. C
 an we find criteria on $\\Gamma$ implying that the quotient of $X$ by $\\G
 amma$ is holomorphically convex\, or that it contains no compact analytic 
 subvariety of positive dimension?I will present criteria inspired by the w
 ork of Dey and Kapovich\, which concern the critical exponent of the group
  (in rank one) or its entropy associated with some linear form (in higher 
 rank). In both cases\, the proofs involve Patterson–Sullivan measures\, 
 and the ultimate goal is to show that these quotients are Stein manifolds.
  The results in higher rank come from work in progress\, in collaboration 
 with Colin Davalo.\n\nhttps://indico.math.cnrs.fr/event/15389/
URL:https://indico.math.cnrs.fr/event/15389/
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