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A generalization of the prime geodesic theorem to counting conjugacy classes of free subgroups.
by
Lewis Bowen
Indiana University
The prime geodesic theorem gives an asymptotic formula (as x tends to infinity) for the number of conjugacy classes of elements of pi1(M) of geometric translation length at most x where M is a hyperbolic manifold. We generalize this formula in the direction of counting conjugacy classes of finitely generated free subgroups of pi1(M) with general geometric constraints. There are many open questions.
Date received: March 8, 2006
Copyright © 2006 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqu-78.