4:00 pm Tuesday, August 24, 2010
Algebraic Geometry Seminar: Lagrangian planes on symplectic varieties
by
Brendan Hassett (Rice) in HB 227
A holomorphic symplectic variety is a projective variety (or Kaehler manifold) admitting a holomorphic symplectic form, i.e., an everywhere nondegenerate holomorphic two-form. Simply connected holomorphic symplectic varieties share many properties with K3 surfaces. An embedding of an n-dimensional complex projective space into a 2n-dimensional such variety is automatically Lagrangian, as projective space admits no holomorphic forms. Our goal is to chacterize the homology classes realizable by Lagrangian projective subspaces. We present results in small-dimensional cases. (joint with Tschinkel) Host Department: Rice University-Mathematics
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