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Valeria Bertini (Technical University Chemnitz): Rational curves on Hyperkähler manifolds

Ort: MPI für Mathematik in den Naturwissenschaften Leipzig, Inselstr. 22, G3 10 (Hörsaal)

Hyperkähler manifolds are the higher dimensional generalization of K3 surfaces, which are a very important and well-understood class of surfaces in algebraic geometry; on projective K3 surfaces, the existence of rational curves is well known thanks to a classical result by Bogomolov and Mumford. I will present the state of the art of the Hyperkähler case, presenting some recent results about the existence of uniruled divisors on some deformation classes of projective Hyperkähler manifolds.

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Beginn: 16. April 2020 11:00

Ende: 16. April 2020 12:00