## The moduli space of homotopy G-spheres

• Date: 03/20/2008
Lecturer(s):

Jeff Smith (University of British Columbia)

Location:

University of British Columbia

Topic:

I will discuss joint work with Jesper Grodal. A homotopy G sphere is a
space that is homotopy equivalent to a sphere and has an action of the
group G. Two homotopy G spheres are equivalent if there is a zigzag of
equivariant weak equivalneces that connects them. We classify homotopy
G spheres for all finite groups. We compute the monoid of homotopy
classes of self maps of each homotopy G sphere and we show that most of
the higher homotopy groups of the space of self maps finite.

Other Information:

Algebraic Topology Seminar 2006