Ilya Kapovich, Urbana
Spectrally rigid subsets of free groups
Marked length spectrum rigidity is an important phenomenon in the study of negatively curved and non-positively curved manifolds and in other related contexts. In particular, the Marked Length Spectrum Rigidity Conjecture states that for a closed negatively curved manifold the marked length spectrum (though of as a function on the fundamental group, assigning to each closed curve the length of the shortest element in its free homotopy class) uniquely determines the isometry type of the negatively curved Riemannian metric that gave rise to it.
The
Culler-Vogtmann Outer space consists of (equivariant F In this talk we discuss known results about examples of spectrally rigid subsets of free groups, including those coming from random walks and from automorphic orbits. ← Back to the seminar home page |