Topology Seminar for 4/17/2003

Alejandro Adem
University of Wisconsin

Fixity and Group Actions

In this talk I will discuss recent work on constructing free group actions on products of spheres. This makes use of the notion of fixity of representations, homotopy theory and propagation of group actions. In particular we show that for p>3, every rank two p-group acts freely and smoothly on a product of two spheres.