Topology Festival image

Topology Festival

May 21–24, 2007

Abstracts of Workshops

Chris Leininger, University of Illinois at Urbana-Champaign

Mapping Class Groups Versus Kleinian Groups

There have been a number of analogies made between mapping class groups and their subgroups and Kleinian groups. I'll discuss a few of these and then explain in more detail one particular notion: convex cocompactness.

Leininger Workshop Notes (PDF)

Tim Riley, Cornell University

Open Problems in Low-Dimensional Topology and Group Theory

There is an intriguing web of hard problems at the intersection of group theory and low-dimensional topology. They include the Poincaré Conjecture, the Andrews-Curtis Conjecture, the Whitehead Asphericity Conjecture, the Zeeman Conjecture, the Relation Gap Problem, the D(2) Conjecture, and the Eilenberg-Ganea Conjecture. I will describe these problems and some of their interconnections.

Riley Workshop Notes (PDF)