Algebraic Geometry Seminar
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 http://www.its.caltech.edu/~pablos/agsem.html.
Event Series
Algebraic Geometry Seminar Series
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