Every finitely presented group is the group of a closed 4-manifold. However, 3-manifold groups are special. Part of the goal of this conference will be to understand how special they are. The Wall conjecture asserts that the fundamental groups of closed 3-manifolds are the same as groups which satisfy 3-dimensional Poincaré duality (PD(3) groups). Three-manifolds decompose along spheres and tori and this translates to decompositions of their fundamental groups. There have been very fruitful analogs of this decomposition for more general groups.
The conference will focus on the structure of 3-manifold groups as well as structures on groups inspired by structures on 3-manifolds, such as PD (3) groups, relatively hyperbolic groups and buildings.
We will aim to address some of the following topics, as well as new topics which may arise.
NB: In accordance with the Statement of Inclusiveness (http://www.math.toronto.edu/~rafi/statement/) this event will be open to everybody, regardless of race, sex, religion, national origin, sexual orientation, gender identity, disability, age, pregnancy, immigration status, or any other aspect of identity.