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SUMMARY:Singular spaces with trivial canonical class - Daniel Greb (Freibu
 rg)
DTSTART:20111010T140000Z
DTEND:20111010T150000Z
UID:TALK33482@talks.cam.ac.uk
CONTACT:Burt Totaro
DESCRIPTION:The Beauville-Bogomolov decomposition theorem asserts that any
  compact Kahler manifold\nwith trivial canonical bundle\nis finitely cover
 ed by the product\nof a compact complex torus\, simply connected\nCalabi-Y
 au manifolds\, and\nsimply connected irreducible holomorphic symplectic ma
 nifolds. The\ndecomposition of the etale cover corresponds to a\ndecomposi
 tion of the tangent bundle into a direct sum whose summands are\nintegrabl
 e and stable with respect to any polarization.\n\nBuilding on recent exten
 sion theorems for differential forms on singular\nspaces\, we prove an ana
 logous decomposition theorem for the tangent sheaf\nof\na projective varie
 ty with canonical singularities and numerically trivial\ncanonical class. 
 This is joint work with Stefan Kebekus and Thomas\nPeternell.
LOCATION:MR13\, CMS
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