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Random 3-manifolds with boundary

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When one glues a finite number of tetraheda together along their faces at random, the probability that the resulting complex is a manifold tends to zero as the number of tetrahedra grows. However, the only non-manifold points are the vertices of this complex. So, if we truncate the tetrahedra at their vertices, we obtain a random manifold with boundary. This talk will be about the geometry and topology of that manifold. This is joint work with Jean Raimbault.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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