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SUMMARY:Louis Dailly - Uniformization of log Fano pairs and equality in th
 e Miyaoka--Yau inequality.
DTSTART:20261020T120000Z
DTEND:20261020T130000Z
DTSTAMP:20261027T100900Z
UID:indico-event-17205@indico.math.cnrs.fr
DESCRIPTION:At the beginning of the 20th century\, it was known that any c
 ompact connected\, simply connected Riemann surface is biholomorphic to th
 e projective line.Subsequently\, several characterizations of projective s
 paces were established. For instance\, Siu and Yau stated that projective 
 spaces are the only Kähler manifolds with positive holomorphic bisectiona
 l curvature\, and Mori proved that they are the only projective manifolds 
 that have an ample tangent bundle. In a different direction\, projective s
 paces are the only Kähler--Einstein manifolds with a positive constant sa
 tisfying the equality in the Miyaoka--Yau inequality. This result originat
 ing from uniformization theory was generalized in the singular setting by 
 Greb\, Kebekus\, Peternell and Druel\, Guenancia\, Păun. More precisely\,
  they characterize singular quotients of P^n by finite groups acting freel
 y in codimension 1. The aim of this talk is to discuss a generalization of
  these results in order to characterize quotients of P^n by any group acti
 on.\n\nhttps://indico.math.cnrs.fr/event/17205/
LOCATION:435 (UMPA)
URL:https://indico.math.cnrs.fr/event/17205/
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