%0 Journal Article %T The Dehn function of Sp(2n;Z) %A David Bruce Cohen %J Mathematics %D 2014 %I arXiv %X Gromov conjectured that any irreducible lattice in a symmetric space of rank at least 3 should have at most polynomial Dehn function. We prove that the lattice Sp(2p;Z) has quadratic Dehn function when p is at least 5. By results of Broaddus, Farb, and Putman, this implies that the Torelli group in large genus is at most exponentially distorted. %U http://arxiv.org/abs/1404.7412v2