  Let X be a locally symmetric variety. Let EBS(X) and TorE(X) denote its
excentric Borel-Serre and excentric toroidal compactifications, resp. We
determine their least common modification and use it to prove a conjecture of
Goresky and Tai concerning canonical extensions of homogeneous vector bundles.
In the process, we see that EBS(X) and TorE(X) are homotopy equivalent.
