CRM: Centro De Giorgi
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Differential Geometry and Topology

course: Orthotoric Geometry and Kaehler-Einstein metrics on orbifolds

speaker: Vestislav Apostolov (Université de Montréal)

abstract: In these talks, I will introduce the notion of a hamiltonian 2-form on a Kaehler manifold (or orbifold) and show how it leads to a special case of toric geometry, which we call orthotoric. I will prove that a compact orthotoric Kaehler manifold is a complex projective space, but I will extend our analysis to orthotoric orbifolds where the geometry is much richer. I will thus present new examples of Kaehler-Einstein 4-orbifolds.

This is a joint work with David Calderbank, Paul Gauduchon and Christina Tonnesen-Friedman, and appears in Section 3 of Hamiltonian 2-form in Kaehler Geometry II.

Thu 9 Sep, 17:00 - 18:00, Sala Conferenze Centro De Giorgi
Fri 10 Sep, 15:30 - 16:30, Sala Conferenze Centro De Giorgi
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