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Éveline Legendre (Toulouse)
Wednesday 06 March 2013, 14:15-15:15
Kähler-Einstein potential on simple polytope
- 👤 Speaker: Éveline Legendre (Toulouse)
- 📅 Date & Time: Wednesday 06 March 2013, 14:15 - 15:15
- 📍 Venue: MR 13, CMS
Abstract
I will explain how any simple polytope can be labelled to satisfy 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 orbifold unique up to covering and dilatation. Extending Donaldson’s alternative 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 potential gives a Kähler-Einstein metric (with conical singularity along a divisor) on the associated (smooth) symplectic toric manifold.
Series This talk is part of the Algebraic Geometry Seminar series.
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