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Quiver Varieties Program Seminar: Misha Verbitsky, Higher School of Economics (Moscow)

Misha Verbitsky, Higher School of Economics (Moscow)

Title: Towards the Cone Conjecture for Hyperkahler Manifolds
Speaker: Misha Verbitsky, Higher School of Economics (Moscow)
Date: Friday, November 8, 2013
Time: 11:00am – 12:30pm
Place: Seminar Room 313, Simons Center

 

 

 

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Abstract: Let $M$ be a holomorphically symplectic manifold, and $K$ be its Kaehler cone. We show that all faces of the  Kahler cone of $M$ are hyperplanes orthogonal to certain homology classes, called MBM classes. The MBM classes can be
characterized as homology classes which can be represented by a minimal curve in some deformation of $M$. For a deformation of a Hilbert scheme on $K3$, this result gives a simple proof of the Morrison-Kawamata cone conjecture (proven by Markman and Yoshioka in a forthcoming paper). This is a joint work with Ekaterina Amerik.