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AbstractAsai L-functions for GLn are related to the arithmetic of Asai motives. The twisted Gan—Gross—Prasad conjecture opens a way of studying (a twist of) central Asai L-values via descents and period integrals. I will consider an arithmetic analog of the conjecture on central derivatives using unitary Shimura varieties. I will formulate and prove a twisted arithmetic fundamental lemma.Spea...