On the local and global exterior square L-functions of GL_n

We show that construction of the exterior square L-function due
to Jacquet and Shalika yields the `correct' L-function (that is
the Galois L-function defined via the local Langlands Correspondence)
for square integrable representations and, more generally, for all
irreducible admissible representations when n is even. Time
permitting, we will explore a few consequences.