4 problems

A Moufang foundation is a foundation in which the irreducible rank $2$ buildings are Moufang and the glueings are compatible with the Moufang structures induced on the rank $1$ res…

Let two twin buildings be $2$-spherical, and consider a local isometry between them. Tits's extension conjecture. The extension theorem for local isometries should generalize to…

Tits's uniqueness conjecture. Groups of Kac–Moody type are uniquely determined by the fact that they act on some twin-building, together with Moufang foundations.

Classification conjecture. For each 2-spherical Coxeter diagram of type $M$, there is a bijective correspondence between twin buildings of type $M$ and certain Moufang foundations…