-- CANCELLED -- Hilbert modular double octic Calabi-Yau 3-fold

I will discuss modularity of a Calabi-Yau threefold $X$ with Hodge numbers of $H^3(X)$ equal to (1,1,1,1).
The restriction of the Galois representation on $H^3(X)$ decomposes over $Q(\sqrt{2})$ into the direct sum of
the Galois representation for a Hilbert modular form of weight [4,2] and its conjugate.

The Calabi-Yau threefold $X$ is defined as a resolution of singularities of a double covering of $P^3$ branched
along a union of eight planes. The proof is based on a careful study of geometry of $X$, which allows us to find a
rational map on $X$ acting as a multiplication by $\pm\sqrt{2}$ on the middle cohomology.

This is a joint work with M. Schütt and D. van Straten.