18.917: Topics in Algebraic Topology


Time and place: TR 1:00-2:30 in 2-142.

The course begins with an introduction to algebraic cycles and the big de Rham-Witt complex and concludes with the statement and proof of a theorem of Ruelling that the big de Rham-Witt complex of a field of positive characteristic is a complex of zero-cycles. Please see the syllabus for a more detailed description.

Here is a note on the construction of norm maps in Milnor K-theory.

Here is a note on big and small Witt vectors.

Here are my hand-written lecture notes from the course.