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In this paper we give a concrete recipe how to construct triples ofalgebra-valued meromorphic functions on a complex vector space $\mathfrak{a}$satisfying three coupled classical dynamical Yang-Baxter equations and anassociated classical dynamical reflection equation. Such triples provide thelocal factors of a consistent system of first order differential operators on$\mathfrak{a}$, generalising asymptotic boundary Knizhnik-Zamolodchikov-Bernard(KZB) equations. The recipe involves folding and contracting$\mathfrak{a}$-invariant and $\theta$-twisted symmetric classical dynamical$r$-matrices along an involutive automorphism $\theta$. In case of theuniversal enveloping algebra of a simple Lie algebra $\mathfrak{g}$ wedetermine the Etingof-Schiffmann classical dynamical $r$-matrices which are$\mathfrak{a}$-invariant and $\theta$-twisted symmetric. The paper starts witha section highlighting the connections between asymptotic (boundary) KZBequations, representation theory of semisimple Lie groups, and integrablequantum field theories.

Folded and contracted solutions of coupled classical dynamical Yang-Baxter and reflection equations