Fano varieties associated to hyperkähler manifolds - Laure Flapan
Автор: Antwerp Algebra Colloquium
Загружено: 2024-07-01
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Talk by Laure Flapan (Michigan State University), at the Antwerp Algebra Colloquium on June 21, 2024.
Hyperkähler manifolds are a class of algebraic variety having in some sense “flat curvature” and which are distinguished by the presence of a non-degenerate symplectic form. While there are relatively few explicit constructions of hyperkähler manifolds, those that do exist often arise from geometric constructions beginning with a Fano variety (a variety of “positive curvature”). We discuss here a procedure to reverse this association between hyperkähler manifolds and Fano varieties as well as a conjectural picture relating these two classes of varieties. This is joint work with Emanuele Macrì, Kieran O’Grady, and Giulia Saccà.
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