Title: The motivic Adams isomorphism for finite group actions
Abstract: Frank Adams proves the following surprising statement in 1984: For a finite CW complex X with a nice finite group action, the orbit spectrum and the fixed point spectrum of Σ∞X are isomorphic. Lewis, May and Steinberg then generalized Adams’ result to arbitrary spectra in 86. In this talk, I will discuss a motivic analogue of the above results, following the work of Gepner and Heller. The proof is dependent on the existence of the ‘six functors formalism’ but is more than that. I will roughly explain how the proof works and show you some applications of the motivic Adams isomorphism.
