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Explore the intricacies of the Z/p-equivariant Steenrod algebra in this comprehensive lecture by Igor Kriz from the University of Michigan. Delve into recent collaborative research with Hu, Somberg, and Zou, focusing on calculating the dual of the Z/p-equivariant Steenrod algebra with constant coefficients. Discover the various Mackey functors encountered in this study and learn about the application of these findings in constructing a version of a Z/p-equivariant spectrum BPR at an odd prime p, a concept previously conjectured by Hill, Hopkins, and Ravenel. Gain insights into the partial results of Sankar and Wilson that laid the groundwork for this advanced mathematical exploration.