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On 2-elementary K3 surfaces and string dualities

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KA2W03 - Mathematical physics: algebraic cycles, strings and amplitudes

Inose surfaces (associated with Kummer surfaces of Jacobians of smooth genus-two curves) provide a purely geometric interpretation for a certain duality in string theory. Building on this foundation, I will explain how algebraic K3 surfaces obtained from abelian varieties provide a fascinating arena for string compactification and string dualities as they are not-trivial spaces, but are sufficiently simple to analyze most of their properties in detail. I will then describe recent results where we used families of lattice polarized K3 surfaces of Picard rank 10, 14, and 16 to provide a geometric interpretation, called geometric two-isogeny, for the so-called F-theory/heterotic string duality in eight dimensions with up to 4 Wilson lines. This is joint work with A. Clingher.

This talk is part of the Isaac Newton Institute Seminar Series series.

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