2 problems
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Higher-dimensional Bruhat–Tits realization conjecture for bounded subgroups
Conjecture. Every bounded subgroup containing an Iwahori subgroup can be realized as a unit group arising from a finite Galois cover of
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Bruhat–Tits boundary characterization conjecture for totally disconnected spherical buildings
Bruhat–Tits boundary conjecture. Then is the Tits boundary of a locally finite simplicial Bruhat–Tits building.