Symplectic hypersurfaces

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Symplectic hypersurfaces

Nom de l'orateur
Manfred Lehn
Etablissement de l'orateur
Universität Mainz
Date et heure de l'exposé
18-04-2023 - 16:00:00
Lieu de l'exposé
salle de séminaires
Résumé de l'exposé
A symplectic hypersurface is an even dimensional hypersurface $X$ in complex affine space $\mathbb{C}^{2n+1}$ that carries a nowhere degenerate holomorphic 2-form. Non-trivial examples are necessarily singular, and well known classical examples are provided by the Kleinian singularities $\mathbb{C}^2/G$ in $\mathbb{C}^3$, where $G$ is a finite subgroup in $SU(2)$. I would like to discuss higher dimensional examples found by Namikawa, Sorger, van Straten and myself, which we believe to exhaust all possibilities.

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