On Exponential maps for L-analytic Lubin-Tate de Rham (φL,ΓL)-modules

Generalizing the cyclotomic theory, we construct Perrin-Riou-style exponential maps à la Nakamura for L-analytic de Rham Lubin-Tate (φ_L, Γ_L)-modules. We further define (dual) Bloch-Kato exponential maps for arbitrary complete field extensions F/L. Following Nakamura, we prove a family of interpolation formulas for our exponential maps, generalizing the work of Berger-Fourquaux to the non-étale de Rham case. Finally, we prove our version of Perrin-Riou's δ(V)-theorem for trianguline L-analytic de Rham (φ_L, Γ_L)-modules over R_{C_p}.