Boundary Classification in Groups with Isolated Flats

Matthew Haulmark
University of Wisconsin-Milwaukee
PhD Student

“In 2000 Kapovich and Kleiner proved that if G is a one-ended hyperbolic group that does not split over a two-ended subgroup, then the boundary of G is either a Menger curve, a Sierpinski carpet, or a circle. In this talk I will discuss CAT(0) spaces, their boundaries, and what it means for a group to be CAT(0). I will also provide a generalization of the Kapovich and Kleiner theorem to the isolated flats setting”.

Committee Members:
Profs. Chris Hruska (Advisor); Craig Guilbart, Boris Okun, Suzanne Boyd, & Peter Hinow

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