These are some notes on motivic homotopy theory taken from a seminar given Mike Hopkins at Harvard in fall 2004.

Week 1. (Last updated November 7th.) These notes were originally taken by Mark Behrens.

Week 2 was not put into TeX because it mainly consisted of model category theory; you'd be better off taking a look at Mark Hovey's book "Model Categories", or some of the stuff available on Phil Horschhorn's website. (The beginning consisted of definitions and some properties of model categories, but there was some material towards the end of the lecture on Quillen homology and localization in model categories.)

Week 3. (Last updated October 25th.)

Week 4. (Last updated October 26th.) This week has a couple of gaps in it related to the Serre spectral sequence. It needs repair.

Week 5. (Last updated November 12th.) Not yet proofread.

Week 6. (Last updated November 15th.) Not yet proofread.

Week 7. (Last updated February 8th.) Not yet proofread.

Week 8. (Last updated February 25th.) Not yet proofread. This is the final week.

For questions or corrections, my email is: tlawson (at) math.umn.edu