Orbital degeneracy loci and applications

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• Sara Filippini (Cambridge)
• Wednesday 17 May 2017, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Dr. J Ross.

We consider a generalization of degeneracy loci of morphisms between vector bundles based on orbit closures of algebraic groups in their linear representations. Using a certain crepancy condition on the orbit closure we gain some control over the canonical sheaf in a preferred class of examples. This is notably the case for Richardson nilpotent orbits and partially decomposable skew-symmetric three-forms in six variables. We show how these techniques can be applied to construct Calabi-Yau manifolds and Fano varieties of dimension three and four. This is a joint work with Vladimiro Benedetti, Laurent Manivel and Fabio Tanturri.

This talk is part of the Algebraic Geometry Seminar series.

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