Takeshi Torii

Power operations and the generalized Chern character

video: comming soon.
abstract:
We have defined a generalization of the Chern character as a multiplicative natural transformation from the \((n+1)\)st Morava \(E\)-theory to a certain extension of the \(n\)th Morava \(E\)-theory, which we call the generalized Chern character. On the other hand, we have power operations in Morava \(E\)-theory, since it is an \(E_{\infty}\)-ring spectrum. In this talk I will discuss the relationship between power operations in different Morava \(E\)-theories through the generalized Chern character.