Mitul Islam (University of Michigan)

Title: Convex co-compact representations of 3-manifold groups.

Abstract: Convex co-compact representations are a generalization of convex co-compact Kleinian groups. A discrete faithful representation into the projective linear group is called convex co-compact if its image acts co-compactly on a properly convex domain in real projective space. In this talk, I will discuss such representations of 3-manifold groups. I will prove that a closed irreducible orientable 3-manifold group admits such a representation only when the manifold is geometric (with Euclidean, hyperbolic, or Euclidean x hyperbolic geometry) or when each component in its geometric decomposition is hyperbolic. This extends a result of Benoist about convex real projective structures on closed 3-manifolds. In each case, I will also describe the structure of the representation and the properly convex domain. This is joint work with Andrew Zimmer.

Zoom ID: 989 1072 6246
Password: delta

Link: https://mcgill.zoom.us/j/98910726246?pwd=VHlzTzdTZGtqcHVuWGNKdys4d0FzQT09