Seminara za unitarne reprezentacije i automorfne forme

 

Shunsuke Yamana, Department of Mathematical Sciences, Kyushu University, Japan

 

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   Symmetric square L-functions for GL(n) and invariant trilinear forms

 

Abstract:  Following Bump-Ginzburg and Takeda, we develop a theory of symmetric square L-functions for GL(n). 
> We characterize its pole in terms of certain trilinear period integrals, determine all irreducible summands of the discrete spectrum of GL(n) having nonvanishing trilinear periods, and construct nonzero local invariant trilinear forms on a certain family of local induced representations. 

 

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Marcela Hanzer