Systoles and symmetric polyhedra in hyperbolic 3-space
Date(s) : 11/05/2023 iCal
11h00 - 12h00
It follows from Thurston’s theory of hyperbolic Dehn fillings that there are closed hyperbolic 3-manifolds with arbitrarily small systole. We illustrate this phenomenon via compact right-angled hyperbolic 3-polyhedra, viewed as reflection orbifolds, and explain its relevance to the construction of infinite families of pairwise incommensurable such polyhedra. This is joint work with Nikolay Bogachev.
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