Mathematics 250B, Spring 2005.

Professor: Richard Borcherds

Office hours: Tuesday, Thursday 3:30-5:00 927 Evans Hall

Our class meets in 7 Evans Hall , TuTh 2:00-3:30. The first lecture is on Tuesday Jan 18, the last lecture is on Tuesday May 10, and there are no lectures on March 22 and March 24 because of the spring recess. This is the course home page (address http://math.berkeley.edu/~reb/250B/). The course control number is 55101.

Catalogue Description: Mathematics 250B

250B. Multilinear Algebra and Further Topics. (4) Three hours of lecture per week. Prerequisites: 250A.

Textbook:

Commutative algebra by Eisenbud. The course will be a course on commutative algebra, with emphasis on the commutative algebra needed for algebraic geometry and number theory. I intend to cover most of the first half of the book and possibly selected topics from the second half. For introductory background reading you could either use Eisenbud's book, or "Commutative algebra" by Atiyah and Macdonald. If you have an old (before 1999) edition of Eisenbud's book, there are some corrections for it.

Examinations:

None.

Suggested homework:

  1. January 18: Read sections 0.1 to 0.3 and 1.1 to 1.5. Do exercises 1.1, 1.3, 1.4, 1.5, 1.6, 1.7, 1.24, 1.25.
  2. February 1: Read sections 2.1 and 2.2, A2.1 to A2.3. Problems: 2.1, 2.2, 2.4, 2.7, 2.8, 2.9, 2.19, 2.22, Problems A2.1 to A2.7.
  3. February 15: Read sections 2.4, 3.1-3.3. Problems 2.25-2.27, 3.1, 3.4, 3.5, 3.11, 3.12, 3.14.
  4. March 1 Problems 4.1, 4.3-4.8, 4.11, 4.12.
  5. March 8: 5.4, 5.5, 5.6, 5.7, 5.8
  6. March 15: A 3.3, A3.4, A3.8, A3.10, A3.11, A3.12, A3.15, A3.16, A3.19, A3.23.
  7. March 22: Spring break.
  8. March 29: 6.1, 6.2, 6.3, 6.6, 6.8.
  9. April 5: Problems 7.1, 7.5, 7.7-7.9, 7.11, 7.13, 7.19-22.

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