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学术科研

Number Theory Seminar

Theta correspondence, poles of Eisenstein series and global Arthur packets

Abstract

Let π be a cuspidal automorphic representation of a classical group. I will define two invariants attached to π, namely, the lowest occurrence of π in the theta correspondence and the location of the maximal pole of an Eisenstein series built from π and a character. Then I will show a relation between the two invariants and talk about an implication of this result on certain global Arthur packets.