Speaker
John Voight
Description
We consider geometric realizations of motives in middle dimension with Hodge vector (n, 0, ..., 0, n) and having Hodge endomorphisms by a number field K of degree n; this includes some Calabi-Yau motives, taking n = 1. We then focus on the case (2,0,2) and its relation to classical modular forms of weight 3 with coefficients in a quadratic field, finding realizations in rigid surfaces.
