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Rational curves on hyperkahler manifolds.
Mathematical Physics| Speaker: | Ekaterina Amerik, HSE, Moscow |
| Location: | 2112 MSB |
| Start time: | Thu, Feb 13 2014, 4:10PM |
Description
Let M be an irreducible holomorphically symplectic manifold. The faces of
the Kahler cone of M are supported by hyperplanes H_i orthogonal to
certain homology classes, which we call monodromy birationally minimal
(MBM) classes.
It turns out that the MBM classes are deformation-invariant
(as soon as the class in question stays of type (1,1)) and that
the Kahler cone is a connected component of a complement of the positive
cone to the union of all H_i. This allows us to prove some results towards
the Morrison-Kawamata cone conjecture for hyperkahler manifolds.
This is a joint work with Misha Verbitsky.
Joint with Geometry/Topology seminar