Titile: The exterior cubic L-function of GU(6) and its poles.

Abstract: In this talk, we will extend Ginzburg-Rallis' integral representation for the exterior cube automorphic L-function from  GL(6) to GU(6) and extablish its analytic properties.

Furthermore, we determine the irreducible cuspidal automorphic representations of GU(6) whose twist exterior cube L-functions have poles in terms of endoscopic classification.