Radhika Gupta (Technion, Israel)

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.
Description
Ramanujan Hall, Department of Mathematics
Date
Tue, January 29, 2019
Start Time
3:30pm-4:30pm IST
Duration
1 hour
Priority
5-Medium
Access
Public
Created by
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Updated
Mon, January 28, 2019 10:39am IST