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Seminar

AT Open Problems Seminar: Pattern recognition in chromatic homotopy theory February 03, 2014 (01:45 PM PST - 03:00 PM PST)
Parent Program: Algebraic Topology
Location: MSRI: Baker Board Room
Speaker(s) Craig Westerland (University of Minnesota Twin Cities)
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There are many examples of phenomena in chromatic homotopy theory that arise via inspiration from K-theory (i.e., height

1).  Good examples abound: the spectra eo_n generalizing ko, the redshift program, and so on.

In this talk, I'll present some new examples that are marginally geometric. Much of it will center on a cohomology theory which bears some formal resemblance to K-theory, but where the role of CP^\infty is played by K(Z, n+1).  For elements of this cohomology theory (analogues of virtual bundles), one can define K(n)-local Thom spectra and certain characteristic classes.  Some minor comments about the redshift program can also be made.

Mostly, I hope to formulate some coherent questions about both the geometric and homotopy-theoretic aspects of these constructions.

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