Cohomology in algebra, geometry, physicsand statistics

Steenrod Algebra and Equivariant Algebraic Topology

Steenrod algebra give stable cohomology operations.
Non-equivariantly, the dual Steenrod algebra spectrum is a wedge of
suspensions of HZ/p. It is explicitly computed and fundamental in a lot of
computations in algebraic topology. Consider the equivariant
Eilenberg–Maclane spectra H = HZ/p for the cyclic group of order p. I will
talk about the computation of the dual Steenrod algebra of H. It turns out
that when p is odd, H ∧ H is a wedge of suspensions of H and another
spectrum, which we call HM. This is joint work with Po Hu, Igor Kriz, and
Petr Somberg
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