MATH 505
Spring 2016 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.
Section Status updates every 10 minutes.
| CRN | Type | Section | Time | Day | Location | Instructor | Section Details | |
|---|---|---|---|---|---|---|---|---|
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40559
|
Lecture-Discussion
|
F1
|
2:00PM
-2:50PM
|
MWF
|
443 Altgeld Hall
|
Mineyev, I
|
|