Summer School on the
Interactions between Homotopy Theory and Algebra University of Chicago July 26 to August 6, 2004 |

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Students who meet the following prerequisites will benefit the most from the summer school. A majority of these topics would be covered in a one semester course in algebraic topology and a one semester course in commutative algebra. Some topics are slightly more advanced though, and students will probably find it beneficial to review this background material before the summer school.

**Commutative Algebra**: Familiarity with
rings, ideals, modules, primary decompositions,
Spec, localization, local rings,
dimension theory, regular sequences, and Koszul complexes.

**Homological Algebra**: Familiarity with
chain complexes, the long exact homology sequence, the snake lemma,
Tor and Ext, easy calculations of Tor and Ext (universal coefficient
theorems), some more complicated calculations of Tor and Ext over
rings other than Z, resolutions (projective/injective),
and comparison of resolutions.

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