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Topology Seminar

Mon., Nov. 14, 2022 1:00 p.m.

Location: Zoom

Speaker: Sarah Petersen, MPIM Bonn

Title: The RO(C2)-graded homology of C2-equivariant Eilenberg–MacLane spaces (512 kB) PDF file


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.

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