
Jon Berrick
National University of Singapore
Intertwining matrices and Ktheory
Friday 15th, November 12:0512:55pm,
Carslaw 373.
Higher algebraic Ktheory was created by D. Quillen by applying
certain topolog ical functors to the group of all invertible matrices
over a given ring. This provi ded an important generalization of a
group earlier constructed by J.H.C. Whitehead. However, it ignored
the other historic foundation of Ktheory, namely the ideal cla ss
group of algebraic number theory. In this talk we show how (for
commutative ring s) it is possible to overcome this defect by focusing
attention on a novel class of matrices, which I call intertwining
matrices.







