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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Characteristic classes determine dualizing modules

## Characteristic classes determine dualizing modulesAdd to your list(s) Download to your calendar using vCal - Vesna Stojanoska (University of Illinois at Urbana-Champaign)
- Thursday 27 September 2018, 16:00-17:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. HHHW03 - Derived algebraic geometry and chromatic homotopy theory I will address the question of determining the K(n)-local Spanier-Whitehead dual of the Lubin-Tate spectrum, equivariantly with respect to the action of the Morava stabilizer group. A dualizing module can be constructed 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 calculations of characteristic classes also give explicit formulas for the Spanier-Whitehead duals of spectra like TMF and higher real K-theories. This is work in progress, joint with Agnes Beaudry, Paul Goerss, and Mike Hopkins. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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