CRM: Centro De Giorgi
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Extremal Kaehler Metrics and Kaehler-Ricci Flow

seminar: Toric Sasaki-Einstein manifolds

speaker: Akito Futaki (Tokyo Institute of Technology)

abstract: A toric Sasaki manifold can be deformed to a Sasaki-Einstein manifold if and only if it is obtained from a toric diagram of height $\ell \in \mathbb N$. This implies in particular that there are countably many deformation inequivalent families of toric Sasaki-Eisntein structures on $k$-fold connected sum of $S2 \times S3$. As another application one can show that there exists a complete Ricci-flat Kaehler metric on the total space of the canonical bundle of a toric Fano manifold.

Fri 14 Mar, 15:30 - 16:30, Sala Conferenze Centro De Giorgi
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