Fano fourfolds of K3 type

15 Jun 2022, 09:30
1h
BellaVista Relax Hotel

BellaVista Relax Hotel

Via Vittorio Emanuele III, 7, 38056 Levico Terme TN
In-person Talk

Speaker

Laurent Manivel (CNRS and Université Paul Sabatier, Toulouse, France)

Description

A joint project with M. Bernardara, E. Fatighenti and F. Tanturri aims at classifying all Fano fourfolds that can be obtained as zero loci of sections of vector bundles on Grassmannians, or more generally products of flag manifolds. Among those, we found 64 families of Fano fourfold of K3 type, whose Hodge structures look like that of a K3 surface. Such varieties usually exhibit some interesting geometry, potentially related to hyperKähler varieties. I will present and discuss some of the most interesting ones.

Primary author

Laurent Manivel (CNRS and Université Paul Sabatier, Toulouse, France)

Presentation materials

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