Description
Geometry Seminar
Speaker: Radhika Gupta (Technion, Israel).
Title: `Cannon-Thurston maps for CAT(0) groups with isolated flats'.
Time: 15:30 - 16:30, Tuesday, January 29, 2019.
Venue: Ramanujan Hall.
Abstract:
Consider a hyperbolic 3-manifold, called a mapping torus, that fibers over
a circle with fiber a closed orientable surface of genus at least 2.
Cannon and Thurston showed that the inclusion map from the surface into
the 3-manifold extends to a continuous, surjective map between the visual
boundaries of the respective universal covers. This gives a surjective map
from a circle to a 2-sphere. Mj showed that a Cannon-Thurston map also
exists for a hyperbolic group and its normal hyperbolic subgroups. In this
talk, we will explore what happens when we consider the mapping torus of a
surface with boundary, which is not hyperbolic but CAT(0) with isolated
flats under some conditions.