The Kuga-Satake construction.

The Kuga-Satake construction.

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Congling Qiu, Princeton University
Fine Hall 110

The Kuga-Satake construction associates an abelian variety (the Kuga-Satake variety) to certain weight two Hodge structure, for example the second cohomology group of a K3 surface. I will discuss the construction, and its applications to the Weil conjecture, the Hodge conjecture, and the Tate conjecture (related to K3 surfaces).