Geodesic
Local newforms for generic representations of unramified even unitary groups I: Even conductor case
Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e23

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In this paper, we define compact open subgroups of quasi-split even unitary groups for each even non-negative integer and establish the theory of local newforms for irreducible tempered generic representations with a certain condition on the central characters. To do this, we use the local Gan–Gross–Prasad conjecture, the local Rankin–Selberg integrals and the local theta correspondence. 
Atobe, Hiraku. Local newforms for generic representations of unramified even unitary groups I: Even conductor case. Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e23. doi: 10.1017/fms.2025.2
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