Volumes of Hyperbolic Manifolds

Volumes of Hyperbolic Manifolds

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Mehdi Yazdi , Princeton University
Fine Hall 314

The Mostow Rigidity Theorem implies that Volume is actually a topological invariant for hyperbolic manifolds. In this talk we give an outline of Gromov’s proof of Mostow Rigidity for hyperbolic 3-manifolds. The proof uses the Gromov norm, which is a pseudo-norm on the homology of a topological space. If time permits, we will discuss theorems about the set of volumes of hyperbolic manifolds.