The Spanier-Whithead duality is a generalization of the classical Alexander duality of sphere complements and should be thought of as an analog of the tensor-hom adjunction for spectra. Let K(2) and E_2 be the Morava K-theory and Morava E-theory of height 2 at prime 2 respectively, and let G_2 be the extended Morava stabilizer group of height 2 at prime 2. Irina Bobkova showed in 2020 that, remarkably, the K(2)-local Spanier-Whitehead dual of E_2^{hF} is equivalent to the 44th suspension suspension of E_2^{hF} for any finite subgroup F of G_2. This is analogous to a theorem by Mark Behrens at the prime 3. In this talk, we will introduce the relevant set-ups and survey both Behrens’ and Bobkova’s result.