## URegina Topology Seminar: Sarah Petersen

• Date: 11/14/2022
• Time: 13:00
Lecturer(s):
Sarah Petersen, MPIM Bonn
Location:

University of Regina

Topic:

The RO(C2)-graded homology of C2-equivariant Eilenberg–MacLane spaces

Description:

This talk describes an extension of Ravenel–Wilson Hopf ring techniques to C2-equivariant homotopy theory. Our main application and motivation for introducing these methods is a computation of the RO(C2)-graded homology of C2-equivariant Eilenberg–MacLane spaces. The result we obtain for C2-equivariant Eilenberg–MacLane spaces associated to the constant Mackey functor F2 gives a C2-equivariant analogue of the classical computation due to Serre at the prime 2. We also investigate a twisted bar spectral sequence computing the homology of these equivariant Eilenberg–MacLane spaces.

Other Information:

Location: Online