Gregory Arone Spaces of embeddings and the Fulton-McPherson compactification. We will discuss certain filtrations of the space of embeddings of manifolds. To describe the filtration we will need certain construction closely related to the Fulton-Mcpherson compactification. We will discuss the properties of the filtration and relate it to some classical constructions in geometric topology. Stephen Bigelow Representations of braid groups.
Braid groups have many equivalent definitions, and an even larger number of applications.
The Jones representation of braid groups by matrices was originally defined using the Hecke algebra, and can be used to obtain the famous Jones polynomial of a knot or link. I will give two definitions of the braid group - one algebraic and one topological. I will then describe a new definition of the Jones representation from this more topological point of view. David Benson Tate cohomology of finite groups, cohomology of differential graded algebras, and obstruction theory. After a brief introduction to Tate cohomology, I shall discuss the following question.