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SUMMARY:Characteristic classes determine dualizing modules - Vesna Stojano
 ska (University of Illinois at Urbana-Champaign)
DTSTART:20180927T150000Z
DTEND:20180927T160000Z
UID:TALK110452@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:I will address the question of determining the K(n)-local Span
 ier-Whitehead dual of the Lubin-Tate spectrum\, equivariantly with respect
  to the action of the Morava stabilizer group. A dualizing module can be c
 onstructed abstractly\, and we use characteristic classes to relate it to 
 a certain representation sphere\, at least when we restrict the action to 
 a finite subgroup. As a consequence in specific examples\, explicit calcul
 ations of characteristic classes also give explicit formulas for the Spani
 er-Whitehead duals of spectra like TMF and higher real K-theories. This is
  work in progress\, joint with Agnes Beaudry\, Paul Goerss\, and Mike Hopk
 ins.
LOCATION:Seminar Room 1\, Newton Institute
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