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Iskovskikh Seminar
November 12, 2015 18:00, Moscow, Steklov Mathematical Institute, room 540

About lagrangian fibrations on symplectic fourfolds

N. Kurnosov

National Research University "Higher School of Economics" (HSE), Moscow

Abstract: It is known that for any lagrangian fibration $M \to X$, one can prove that $X$ is always a projective space if $X$ is smooth or for some special cases of manifold $M$. In this talk i will explain the work of Ou. He has proved that for a lagrangian fibration $M \to X$ from irreducible symplectic fourfold $M$ the base $X$ is either projective plane or Fano surface $S^n(E_8)$.