Twisted Fourier-Mukai transforms for holomorphic symplectic 
manifolds -- Justin Sawon, February 14, 2003

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In his thesis, Caldararu described twisted Fourier-Mukai
transforms for elliptic fibrations. In this talk I will
describe how certain holomorphic symplectic manifolds can be
deformed to integrable systems, i.e. fibrations by abelian
varieties. These are higher dimensional analogues of elliptic
K3 surfaces, and twisted Fourier-Mukai transforms once again
arise.