\(\tilde X_2\) buildings and Levi decompositions
The talk is devoted to a proof of the conjecture that every locally finite 2-dimensional affine building with a BN-pair is Bruhat-Tits.
The main tool is an analogue of the Levi decomposition theorem for the stabiliser of a point at infinity in CAT(0) spaces.
This is a joint work with Nicolas Monod.
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