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SUMMARY:Kähler-Einstein potential on simple polytope - Éveline Legendre 
 (Toulouse)
DTSTART:20130306T141500Z
DTEND:20130306T151500Z
UID:TALK41708@talks.cam.ac.uk
CONTACT:Dr. J Ross
DESCRIPTION:I will explain how any simple polytope can be labelled to sati
 sfy the combinatorial condition of being monotone with a vanishing Futaki 
 invariant. Using the Wang-Zhu theorem for orbifolds\, we obtain that every
  lattice simple polytope is the moment polytope of a Kähler-Einstein orbi
 fold unique up to covering and dilatation. Extending Donaldson's alternati
 ve proof of the Wang-Zhu theorem to any simple polytope\, we get that they
  all carry a Kähler-Einstein potential. In the Delzant case\, this potent
 ial gives a Kähler-Einstein metric (with conical singularity along a divi
 sor) on the associated (smooth) symplectic toric manifold.
LOCATION:MR 13\, CMS
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