GEOMETRY & TOPOLOGY AT PRINCETON: Hermitian flows on complex manifolds and weak Capana-Peternell conjecture

GEOMETRY & TOPOLOGY AT PRINCETON: Hermitian flows on complex manifolds and weak Capana-Peternell conjecture

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Yury Ustinovsky, Princeton University
Fine Hall 314

Campana-Peternell conjecture states that a Fano manifold with nef tangent bundle is rational homogeneous. We formulate weak differential-geometrical version of Campana-Peternell conjecture and discuss a possible approach \ to it based on the study of metric flows on Hermitian manifolds.