Seminario del 2017

Novembre
23
2017
Valeria Bertini
Rational curves on irreducible symplectic varieties
nel ciclo di seminari: WORKSHOP ON IHS MANIFOLDS AND STABILITY CONDITIONS
algebra e geometria
After recent works of Gianluca Pacienza in collaboration with François Charles and Giovanni Mongardi, it seems possible to prove the existence of rational curves on irreducible symplectic varieties (IVS) of a fixed deformation type, starting from special points of their moduli spaces and using the parallel transport operators group. I will introduce this approach, used by Charles, Mongardi and Pacienza in the case of IVS that are deformation equivalent to one of the examples introduced by Arnaud Beauville, and I will tackle the open case of IVS deformation equivalent to the dimension 10 example due to Kieran O'Grady. Furthermore, I will explain some important consequence on the Chow group of 0-cycles of the variety.
organizzato da: Camilla Felisetti, Annalisa Grossi, Giovanni Mongardi
nell'ambito del Progetto Dipartimento BIR16P4 "Convegno IHS" Novembre 2017 - Giunta 16/05/2017 del prof. Giovanni Mongardi

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