URegina Topology and Geometry Seminar: Luis Islas Vizcarra

This is the second of two talks in Algebraic K-theory. I aim to extend the previously discussed 9-term exact sequence into a long exact sequence by defining the higher K-groups via homotopy theory. I will talk about the construction of the topological space $BGL(R{)}^{+}$, show how its homotopy groups define $K_n(R)$, and confirm that this framework is consistent with the lower K-groups already established.