Modular forms on GL(3) and Galois representations, by Bert van Geemen and Jaap Top
This paper gives an expository account of our experiments
concerning relations between modular forms for congruence
subgroups of SL(3,Z) and three dimensional Galois representations.
The main new result presented here is a calculation
of the variations of the Hodge structure corresponding
to the motives we consider in realizing the Galois representations.
It turns out that the period spaces for the Hodge structures
are four dimensional, while the geometric realizations of
such Hodge structures can appear in subspaces of dimension
at most one.
Bert van Geemen and Jaap Top <email@example.com>