Caroline Series (Warwick)
Mon, 17/01/2011 - 16:30
A Kleinian group is a discrete group of isometries of hyperbolic 3-space. Its limit set is the set of points where orbits accumulate on the boundary of hyperbolic space, which we identify with the Riemann sphere. As the group varies continuously, we explore how limit sets can degenerate, even collapsing to a space filling curve. Is it true that limit sets always move continuously with the group?