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SUMMARY:The exotic part of the Picard group of K(2)-local spectra at the p
 rime 2 - Hans-Werner Henn (University of Strasbourg)
DTSTART:20181023T130000Z
DTEND:20181023T140000Z
UID:TALK113479@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The exotic part of the Picard group of K(2)-local spectra at t
 he prime 2  This is a report on joint work with A. Beaudry\, I. Bobkova an
 d 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 descript
 ion of its isomorphism type if n=p=2.
LOCATION:Seminar Room 2\, Newton Institute
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