EVENT DETAILS AND ABSTRACT

Title: Structures on forms of K-theory
Speaker: Charmaine Sia
Speaker Info: Harvard University
Brief Description:
Special Note:
Abstract:

In the early 1970's, Morava studied forms of K-theory and observed that they have interesting number theoretic connections. Until very recently, forms of K-theory have not been studied in greater depth and integrated into the theory of tmf. I establish some expected structured ring spectra results on forms of K-theory. Forms of objects are usually classified by Galois cohomology. Based on the structured ring spectra results established, I give a criterion for distinguishing homotopy equivalence classes of forms of K-theory via a computation in the second homotopy group of the spectrum.