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DTSTAMP:20260719T100312Z
SUMMARY:Behrouz Taji (Freiburg) The Miyaoka-Yau inequality for minimal mode
 ls of general type
DESCRIPTION:The Miyaoka-Yau inequality for minimal models of general type a
 nd the uniformization by the ball.\nBy proving Calabi’s conjecture\, Yau
  proved that the Chern classes of a compact manifold with ample canonical 
 bundle encode the symmetries of the Kahler-Einstein metric via a simple in
 equality\; the so-called Miyaoka-Yau inequality. Furthermore he showed tha
 t in the case of equality\, the universal cover is the ball. Later Tsuji e
 stablished the MY inequality for smooth minimal models of general type by 
 constructing singular Kahler-Einstein metrics. The singularity of these me
 trics are usually a major obstacle towards uniformization\, a problem that
  has not yet been resolved via analytic methods. In a joint project with G
 reb\, Kebekus and Peternell we take a different approach\, via Hermitian-Y
 ang-Mills theory and Simpson’s groundbreaking work on complex variation 
 of Hodge structures\, and we prove the MY inequality for minimal models of
  general type and establish a uniformization for their canonical models.
URL:https://www.imperial.ac.uk/events/103312/behrouz-taji-freiburg-the-miya
 oka-yau-inequality-for-minimal-models-of-general-type/
DTSTART;TZID=Europe/London:20151120T133000
DTEND;TZID=Europe/London:20151120T143000
LOCATION:United Kingdom
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