Algebra learning seminar

Ty Ghaswala, Pure Mathematics, University of Waterloo

"Grothendieck, Whitehead and a reasonably short exact sequence"

For an ideal $I \triangleleft R$, we will define the relative $K$-groups $K_0(R,I)$, $K_1(R,I)$ and talk about the (not long, not short, but just right) exact sequence.  This sequence will provide us with a useful tool for computing $K$-groups.