#### Vol. 306, No. 1, 2020

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On the global Gan–Gross–Prasad conjecture for general spin groups

### Melissa Emory

Vol. 306 (2020), No. 1, 115–151
##### Abstract

We formulate a global Gan–Gross–Prasad conjecture for general spin groups. That is, we formulate a conjecture on a relation between periods of certain automorphic forms on ${GSpin}_{n+1}×{GSpin}_{n}$ along the diagonal subgroup ${GSpin}_{n}$ and some $L$-values. To support the conjecture, we show that the conjecture holds for $n=2$ and $3$ and for certain cases for $n=4$.

##### Keywords
periods of automorphic forms, $L$-values, Gan–Gross–Prasad conjecture
Primary: 11F70
Secondary: 22E55