MATH 505

Fall 2012 All Classes

All Classes

Credit: 4 hours.

Topics include: 1. Snake lemma, homology, long exact sequence in homology; 2. Projective and injective modules and resolutions; 3. Categories, functors and derived functors. Tor and Ext, local cohomology; 4. Group cohomology, bar resolution; 5. Spectral sequences, techniques of computation, Serre spectral sequence. Grothendieck spectral sequence of composite functors; 6. Time permitting: Derived categories, Gysin sequence, Kunneth formula, universal coefficient theorm, Eilenberg-Moore sequence.

Prerequisite: MATH 501 or equivalent.

MATH 505 class schedule data for fall 2012
CRN Type Section Time Day Location Instructor Section Details
30818
Lecture-Discussion
M1
9:30AM -10:50AM
TR
137 Henry Administration Bldg
Bergvelt, M
Part of Term:
1
Date Range:
08/27/12-12/12/12
Restriction(s):
Not intended for Undergrad - Urbana-Champaign.
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