Mathematics 583GA
Special Topics: Spectral Sequences
Spring 2002

Lecture time and place: MWF 2:30, CHL 105
Instructor: John Palmieri
Padelford C-538, 543-1785
E-mail: palmieri@math.washington.edu
Office hours: by appointment
Web: http://www.math.washington.edu/~palmieri/Math583/

Text: Some of the time, I'll use A User's Guide to Spectral Sequences, 2nd edition, by John McCleary. Otherwise, I'll provide references (in English, mostly).

Homework: There will be occasional homework problems. Feel free to work with other people on the homework. If you find a solution in a book, please provide a reference. (Otherwise, it's plagiarism, and we can't have that, can we.)

Grading: To get a 4.0, attend class regularly and make a reasonable attempt on half of the homework problems. To get a grade in the range 3.6-3.9, do less than that. If you never show up and do no apparent work for the course, I might have to give you a lower grade than that.

Plan for the course: We'll start with basics of spectral sequences: the spectral sequence arising from a filtered complex, the spectral sequence arising from a double complex, and exact couples. We'll certainly discuss the Bockstein spectral sequence and the Serre spectral sequence. Other potential topics include the Eilenberg-Moore spectral sequence, the composite functor spectral sequence, and Boardman's work on convergence. I hope that at the end of the course, we'll study the Adams spectral sequence.


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