Charles Weibel
Text:
Hatcher, same as Fall course 640:540
Prerequisites:
640:540
Description:
This course will be a continuation of Math 540, and will start where 540 leaves off. The core topics will be: basic homotopy theory, homotopy groups, generalized cohomology theories (especially oriented theories) and stable homotopy theory. To study these, several tools will be introduced: simplicial sets, CW complexes, de Rham cohomology and Poincare duality, universal coefficients for homology and cohomology, Hom and Ext, spectral sequences and/or other topics of interest to the participants such as applied and computational topology.
