To attend this seminar, please register here: https://www.msri.org/seminars/25205

Abstract:

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.

Random 3-Manifolds With Boundary