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Algebraic Geometry Seminar

Monday, February 2, 2015
4:00pm to 5:00pm
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Derived equivalent CY 3-folds from cubic fourfolds
John Calabrese, RTG Lovett Instructor, Mathematics, Rice University,

The derived category of a cubic fourfold admits a decomposition with one
factor being strikingly similar to the derived category of a K3 surface.
For three special classes, one can construct geometrically a K3 which
derived embeds into the derived category of the fourfold. Using ideas from
the theory of homological projective duality one can then apply this idea
in a family, obtaining a new derived equivalence between Calabi-Yau
threefolds. This is joint work with Richard Thomas from Imperial College.

For more information, please contact Pablo Solis by email at [email protected] or visit