## 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