Modularity and Cuspidality Criterions
Time: Mon, 16 Sep 2019, 13:30-15:05
Place: Ningzhai (宁斋) W11
Speaker: Song Wang (AMSS)
Abstract:
We will survey cuspidality criterions for several cases of functoriality lifts for automorphic forms for GL(N). Here is one important case we will sketch the proof: Let π, π′ be cuspidal automorphic representations for GL(2), GL(3), and Π = π ⊠ π′ the Kim-Shahidi lift from GL(2) × GL(3) to GL(6). Then Π is cuspidal unless two exceptional cases occur. In particular, a modular form of Galois type which is associated to an odd icosahedral Galois representation must be cuspidal.