%0 Journal Article %T Bounds for multiplicities of automorphic forms of cohomological type on GL_2 %A Simon Marshall %J Mathematics %D 2010 %I arXiv %X We prove various results on the cohomology of arithmetic lattices arising from quaternion algebras over a number field with at least one complex place, including a strong restriction on the allowable weights of cuspidal cohomological automorphic forms and a conditional power saving for their multiplicities when the associated locally symmetric space is a hyperbolic 3-manifold. %U http://arxiv.org/abs/1002.3569v5