Math 6280, Advanced Algebraic Topology, Fall 09

Instructor:

Dr. Markus Pflaum

Course Contents:

Introduces elements of topological K-theory and higher homotopy theory. As major results it will be shown that K-theory forms a generalized cohomology theory and that complex K-theory satisfies Bott periodicity. Examples and applications of K-theory will be provided.

Syllabus

Lecture Hours and Venue:

MWF 9:00 a.m. - 9:50 p.m., DUAN G1B35.

Assignments:

Several problems will be assigned in the course. Every student has to write a paper on a certain number of these problems. The solution papers will be graded.

Course Notes

The Grothendieck Group of a Commutative Monoid

Course Grading:

Your grade will be determined from the graded problem solutions.

Textbooks:

Efton Park, Complex Topological K-Theory, Cambridge studies in advanced mathematics 111, Cambridge University Press 2008.

Last modified: Tue 15 11:08:18 2009