course: K-stability of Fano spherical varieties

speaker: Thibaut Delcroix (Université de Paris)

abstract: The resolution of the Yau-Tian-Donaldson conjecture for Fano manifolds, that is the equivalence of the existence of Kaehler-Einstein metrics with K-stability, raises the question of determining when a given Fano manifold is K-stable. I will present a combinatorial criterion of K-stability for Fano spherical manifolds. These form a very large class of almost-homogeneous manifolds, containing toric manifolds, homogeneous toric bundles, and classes of manifolds for which the Kaehler-Einstein existence question was not solved yet, for example equivariant compactifications of (complex) symmetric spaces.

timetable:
Mon 24 Oct, 16:00 - 17:00, Sala Stemmi
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