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Models of Lubin-Tate spectra via Real bordism theory

Banff International Research Station for Mathematical Innovation and Discovery

In this talk, we will present certain Real-oriented models of Lubin-Tate theories at p=2 and arbitrary heights. For these models, we give explicit formulas for the action of certain finite subgroups of the Morava stabilizer groups on the coefficient rings. This is an input necessary for future computations of the homotopy fixed point spectral sequences for the associated higher real K-theories. The Real orientations will provide information about the differentials. The construction utilizes equivariant formal group laws associated with the norms of the Real bordism theory, and are based on techniques introduced by Hill-Hopkins-Ravenel. This is joint work with Agnes Beaudry, Mike Hill, and Mingcong Zeng.

Mathematics; Category theory; homological algebra; K-theory; Algebraic topology

video/mp4

Author affiliation: University of Chicago

2020-09-21

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/76117

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/