数论与表示论讨论班:吴晨彦 Theta correspondence and simple factors of global Arthur parameters
时间:11月15日 16:00-17:00
地点:东7一层报告厅
报告内容:
Let $\pi$ be a cuspidal automorphic representation of a classical group or a metaplectic group. We show an exact relation between two invariants associated to $\pi$, one called the lowest occurrence index of $\pi$ which is an invariant arising from theta lifts and the other the location of the maximal positive pole of an Eisenstein series attached to $\pi$. As an application, we use this relation to show that certain global Arthur packets cannot contain cuspidal automorphic representations.
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