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Seminar of the Department of Algebra and Department of Algebraic Geometry (Shafarevich Seminar)
July 14, 2020 15:00, Moscow, Steklov Mathematical Institute, room 540 (Gubkina 8)
 


On the Lefschetz standard conjecture for Lagrangian covered hyper-Kaehler varieties

C. Voisin
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C. Voisin


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Abstract: We will discuss results on the Lefschetz standard conjecture for degree 2 cohomology of hyper-Kaehler manifolds admitting a covering by Lagrangian subvarieties. In the case of a Lagrangian fibration, we show that the Lefschetz standard conjecture is implied by the SYZ conjecture characterizing classes of divisors associated with Lagrangian fibrations. In the more general case of a Lagrangian covering, we give a numerical criterion implying the Lefschetz standard conjecture in degree 2. We will also discuss potential applications to the study of the Chow ring and the group of 0-cycles.

Language: English

Website: https://us02web.zoom.us/j/83327069709

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