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Buildings, surfaces and quaternions

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NPC - Non-positive curvature group actions and cohomology

Buildings are exciting objects which have geometric, algebraic and number theoretical aspects. We will give elementary constructions of several classes of buildings as universal covers of finite complexes. Then (as a geometric application) we will show a connection of our results with Gromov's surface subgroup question and (as an arithmetic application) we will give explicit examples of quaternionic lattices.



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