The symmetric Margulis constant for hyperbolic 3-manifolds

The symmetric Margulis constant for hyperbolic 3-manifolds

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Andrew Yarmola, Princeton University
Fine Hall 314

In-Person and Online Talk

A classical result of Margulis implies that hyperbolic manifolds may be decomposed into “thick” and “thin” parts based on a universal constant, where this “thin” part has simple topology. While the optimal value of this constant is unknown, bounds found by Meyerhoff have been widely used in controlling the geometry and topology of 3-manifolds. In this talk, we discuss recent work that finds the optimal “symmetric” version of this constant.

This is joint work with David Gabai and David Futer.