Hodge numbers of OG10 via Ngô strings
Giulia Saccà (Collège de France and Columbia University, USA)
Abstract: I will talk on joint work with M. de Cataldo and A. Rapagnetta, in which we compute the Hodge numbers of the 10-dimensional hyperkähler manifold known as OG10. The main technique is the use of Ngô's support theorem, applied to a natural Lagrangian fibration on a certain projective model of OG10, together with the study of the geometry of the fibration itself.
mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry
Audience: researchers in the topic
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