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The exotic part of the Picard group of K(2)-local spectra at the prime 2

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HHH - Homotopy harnessing higher structures

The exotic part of the Picard group of K(2)-local spectra at the prime 2 This is a report on joint work with A. Beaudry, I. Bobkova and P. Goerss. Exotic elements in the Picard groups Pic(n,p) of K(n)-local spectra are represented by spectra whose Morava module is isomorphic to that of the 0-dimensonal sphere. These elements form a sub-group of Pic(n,p) which for given n is trivial if p is sufficiently large (p>2 if n=1, and p>3 if n=2). These sub-groups have been explicitly known for n=1 and p=2, and for n=2 and p=3. In this talk we will give a complete description of its isomorphism type if n=p=2.

This talk is part of the Isaac Newton Institute Seminar Series series.

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