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1.
On higher regulators of Picard modular surfaces, arXiv:2510.08708. Submitted.
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We prove the motivic classes in the motivic cohomology groups of Picard modular surfaces with nontrivial coefficients constructed in [LSZ] are in the motivic cohomology groups of the
interior motives. Then we establish a relation between the motivic classes and non-critical values of the motivic L-functions associated to
cuspidal automorphic representations of GU(2,1), thus deducing non-triviality of the motivic classes and providing evidence for Beilinson's conjectures.
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