In a continuation of our previous work, we outline a theory which should lead
to the construction of a universal pre-building and versal building with a
Ď•-harmonic map from a Riemann surface, in the case of two-dimensional
buildings for the group SL3​. This will provide a generalization of the space
of leaves of the foliation defined by a quadratic differential in the classical
theory for SL2​. Our conjectural construction would determine the exponents
for SL3​ WKB problems, and it can be put into practice on examples.Comment: 61 pages, 24 figures. Comments are welcom