Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Minimal volume hyperbolic 4-manifolds

Leone Slavich

created by daniele on 30 Oct 2017

2 nov 2017 -- 16:00

Sala Seminari, Dip. Matematica, Pisa

Abstract.

Since the volume of a hyperbolic manifold is often regarded as a measure of its complexity, it is interesting to study the examples of minimal volume. The 2 and 3-dimensional cases are well understood. In dimension four there is an abundance of examples, but we are far from classifying them. In this talk, we will survey all known examples of minimal volume hyperbolic 4-manifolds and prove that these fall into three commensurability classes. This is joint work with Stefano Riolo.

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