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Volume entropy of hyperbolic buildings

ÀÓ¼±Èñ (¼­¿ï´ëÇб³)
2009. 09. 10.

Volume entropy of a compact manifold is the exponential growth rate of balls in the universal cover. This seemingly coarse invariant contains a lot of geometric information of the manifold. We will discuss some relations to other invariants, some rigidity theorems in the manifold case. We will then introduce buildings and the volume entropy of buildings. The second part of the talk is a joint work with Francois Ledrappier.