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Topology Seminar: Emily Stark

April 18, 2018 @ 2:00 pm - 3:00 pm

Due to weather related issues, this seminar has been cancelled and rescheduled from April 16 to its current date– Wednesday, April 18 at 2:00PM. We apologize for any inconveniences.

The Visual Boundary of Hyperbolic Free-By-Cyclic Groups

Ms. Emily Stark
Technion-Israel Institute of Technology
Zuckerman Postdoctoral Fellow

“Given an automorphism of the free group, we consider the mapping torus defined with respect to the automorphism. If the automorphism is atoroidal, then the resulting free-by-cyclic group is hyperbolic by work of Brinkmann. If, in addition, the automorphism is fully irreducible, then work of Kapovich–Kleiner proves the boundary of the group is homeomorphic to the Menger curve. However, their proof is very general and gives no tools to   further study the boundary and large-scale geometry of these groups. In this talk, I will explain how to use the Cannon–Thurston map to construct embeddings of non-planar graphs into the boundary of these groups whenever the group is  hyperbolic. Along the way, I will illustrate how our methods distinguish free-by-cyclic groups which are the fundamental group of a 3–manifold. This is joint work with Yael Algom-Kfir and Arnaud Hilion.”

Details

Date:
April 18, 2018
Time:
2:00 pm - 3:00 pm
Event Category:

Venue

EMS Building, Room E408
E408; 3200 N Cramer St.
Milwaukee, WI 53211 United States
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Phone
414-229-4836
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