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SUMMARY:Topology of Properly Convex Projective Manifolds of Dimension Four
  (and Higher)
DTSTART:20251208T130000Z
DTEND:20251208T141500Z
DTSTAMP:20260425T092300Z
UID:indico-event-15538@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Andrea Seppi (Università di Torino)\n\nI will prese
 nt several results on the topology of closed manifolds of dimension at lea
 st 4 that admit a (real) properly convex projective structure\, all relate
 d to a vanishing theorem of Kobayashi from 1984 for the rational Pontryagi
 n classes. In arbitrary dimensions\, I will outline a classification of lo
 cally symmetric manifolds admitting properly convex projective structures.
  Focusing on dimension 4\, I will then present a result on the geometric d
 ecomposition which is the analogue of a theorem of Benoist in dimension 3\
 , and the construction of examples that realize all possible positive valu
 es of the Euler characteristic. Based on joint work with Stefano Riolo and
  Leone Slavich.\n \n\nhttps://indico.math.cnrs.fr/event/15538/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/15538/
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