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UID:7909@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20160201T140000
DTEND;TZID=Europe/Paris:20160201T150000
DTSTAMP:20241120T205603Z
URL:https://www.i2m.univ-amu.fr/evenements/universal-covers-of-higher-dime
 nsional-singular-spaces/
SUMMARY:Behrouz Taji (...): Universal covers of higher dimensional singular
  spaces
DESCRIPTION:Behrouz Taji: By proving Calabi's conjecture\, Yau proved that 
 the first and second Chern classes of a compact complex manifold with ampl
 e canonical bundle encode the symmetries of the Kahler-Einstein metric via
  a simple inequality\; the so-called Miyaoka-Yau inequality. In the case o
 f equality\, such symmetries lead to the uniformization by the ball. In th
 e classification theory of complex varieties\, one looks at a far bigger c
 lass of varieties than those with ample canonical bundle\, but still compa
 rable. These are referred to as minimal models of general type\, and their
  existence has been one of the most important recent breakthroughs in the 
 classification theory. Unfortunately\, for these varieties many of the ana
 lytic tools of (smooth) Kahler-Eistein theory falls apart. In a joint work
  with Greb\, Kebekus and Peternell we remedy this by exploiting Hodge theo
 retic methods developed by Simpson\, and extend Yau's result to the class 
 of minimal models of general type.\n\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Behrouz_Taji.jpg
CATEGORIES:Séminaire,Dynamique et Topologie
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