Fano manifolds associated to hyperkähler manifolds

Many of the known examples of hyperkähler manifolds arise from geometric constructions that begin with a Fano manifold whose cohomology looks like that of a K3 surface. In this talk, I will focus on a program whose goal is to reverse this process, namely to begin with a hyperkähler manifold and from it produce geometrically a Fano manifold. This is joint work in progress with K. O’Grady, E. Macrì, and G. Saccà.

The discussion for Laure Flapan’s talk is taking place not in zoom-chat, but at  https://tinyurl.com/2021-02-12-lf  (and will be deleted after ~3-7 days). 

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