Comparison between analytic and algebraic constructions of toroidal compactifications of PEL-type Shimura varieties

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On the rigid cohomology of certain Shimura varieties (2014, background): “6 of [43]; and the second paragraph of Sect.”
Logarithmic Riemann-Hilbert correspondences for rigid varieties. (2018, methodology): “…products of universal abelian schemes (and this method can be generalized to the case of all PEL-type and Hodge-type Shimura varieties using [Lan12a], [Lan12b], and [LS18a, Section 4.5]), and in general by Harris–Zucker (see [HZ01, Corollary 4.2.3]) using Saito’s theory of mixed Hodge…”
Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields (2014, background): “We have the following important comparison between analytic and algebraic Fourier-Jacobi expansions [Lan12]: (3.12) FJP (g1hg, f)N1H(C) = ϕ[g1] ( f(M[g], h −1jM, (d ×t′+, 2πidzW ; d ×t−)) ) N1H(C) = ρk(diag(1, 2πiΩ −1 GP ,∞, 1))ϕ[g1](FJ h [g](f))N1H(C), where we identify H with a subgroup of U(V…”