On the GL(2n) eigenvariety: branching laws, Shalika families and $p$-adic $L$-functions

Daniel Barrera Salazar, Mladen Dimitrov, Andrew Graham +2

In this paper, we prove that a $\mathrm{GL}(2n)$-eigenvariety is étale over the (pure) weight space at non-critical Shalika points, and construct multi-variable $p$-adic $L$-functi…