Charles Weibel
Text:
Hatcher
Prerequisites:
16:640:540 Math
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, comparison if singular and de Rham cohomology, Poincare duality, universal coefficients, Hom and Ext, spectral sequences and/or other topics of interest to the participants such as persistant homology and other types of applied and computational topology.
