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SUMMARY:Orbital degeneracy loci and applications - Sara Filippini (Cambrid
 ge)
DTSTART:20170517T131500Z
DTEND:20170517T141500Z
UID:TALK69672@talks.cam.ac.uk
CONTACT:Dr. J Ross
DESCRIPTION:We consider a generalization of degeneracy loci of morphisms b
 etween vector bundles based on orbit closures of algebraic groups in their
  linear representations. Using a certain crepancy condition on the orbit c
 losure we gain some control over the canonical sheaf in a\npreferred class
  of examples. This is notably the case for Richardson nilpotent orbits and
  partially decomposable skew-symmetric three-forms in six variables. We sh
 ow how these techniques can be applied to construct Calabi-Yau manifolds a
 nd Fano varieties of dimension three\nand four. This is a joint work with 
 Vladimiro Benedetti\, Laurent Manivel and Fabio Tanturri.\n
LOCATION:CMS MR13
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