Local minimization of fuzziness under high symmetry
For a given hyperbolic 3-manifold $M$ with Fuchsian ends, it is a question of Canary and Taylor whether $M$ minimizes the Hausdorff dimension of the limit set among its convex co-compact deformations. In this talk we will show how this holds locally if $M$ is sufficiently symmetric. Based in work in progress with Sami Douba and Andrés Sambarino.