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Polyhedra The Koebe-Andreev-Thurston Theorem & Arithmetic Polyhedra
William Thurston Lectures| Speaker: | Alex Kontorovich, Rutgers University |
| Location: | 1147 MSB |
| Start time: | Tue, May 7 2024, 4:10PM |
The KAT theorem takes a combinatorial polyhedron P and geometrizes it to one having a midsphere. There is a natural process by which this geometrization gives rise to a finite area hyperbolic 3-manifold M(P). We say that a polyhedron P is “arithmetic” if the 3-manifold M(P) is. We will discuss progress on the following basic question: which polyhedra are arithmetic?