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

Presented by: 
Hans-Werner Henn University of Strasbourg
Date: 
Tuesday 23rd October 2018 - 14:00 to 15:00
Venue: 
INI Seminar Room 2
Abstract: 
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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons