EVENT DETAILS AND ABSTRACT

Title: On the Witt group of a bimodule
Speaker: Professor Randy McCarthy
Speaker Info:
Brief Description:
Special Note:
Abstract:

Algebraic K-theory is a homotopy functor from rings to spectra. Its associated Taylor tower determines a pro-spectrum of functors. There exists a model, written \{W_n(R,M)\}, for the spectrum resulting when we apply this pro-spectrum of functors to the tensor algebra $T_R(M)$. The construction of the W_n(R,M)'s is similar to that used for topological cyclic homology. We will discuss the motivation, history and construction of \{W_n(R,M)\} and in particular recent progress by Morten Brun in describing its zero homotopy group.