|Parent Program:||Algebraic Topology|
|Location:||MSRI: Baker Board Room|
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.No Notes/Supplements Uploaded No Video Files Uploaded