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Math 918 Derived Category Methods in Commutative Algebra, Fall 2006

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TR 12.30-1.45 PM, AvH 351
Lars Winther Christensen
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Prerequisites

Some familiarity with commutative algebra and classical homological algebra, for example acquired through Math 905 and 915.

Contents

The topic of the course is the derived category of modules over a commutative noetherian ring and its applications in commutative ring theory. The course covers parts of the material in Hyperhomological Algebra with Applications to Commutative Rings (in preparation, see below).

Text

For background material we use: Charles A. Weibel An Introduction to Homological Algebra, Cambridge Studies in Advanced Mathematics (No. 38).

The main text is lecture notes that form a preliminary version of Hyperhomological Algebra with Applications to Commutative Rings.

[ Lecture notes (December 2006)  .pdf ]

Homework

To pass the course five (5) out of eight (8) sets of homework must be approved.

Set Date Assigned exercises Due date
8 Nov 28 (E 7.2.1), (E 7.2.2), and (E 7.2.3) Dec 7
7 Nov 16 (E 6.2.1), (E 6.2.2), and (E 6.2.3) Nov 30
6 Nov 2 (E 5.2.3), (E 5.2.4), and (E 5.2.5) Nov 16
5 Oct 20 (E 4.3.1) and (E 5.2.1) Nov 2
4 Oct 5 (E 3.4.1), (E 3.4.2), and (E 5.1.2) Oct 19
3 Sep 21 (E 2.3.1), (E 4.2.1), and prove Lemma (2.4.4) Oct 5
2 Sep 7 (E 2.2.2), (E 2.2.3), and (E 3.1.1) Sep 21
1 Aug 24 (E 1.3.1), (E 1.3.2), and (E 1.3.3) Sep 7

Note that these numbers refer to the handouts from class.

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Previous classes

Math 203 Contemp. Math. (2005)
Math 208 Calculus III (2006)
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