Characteristic classes determine dualizing modules

Add 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 INI IT.

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
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.