MATH 250C Spring 2017

Course Information



Lectures: MWF 4:10 in 1128 Bainer.
Final: Friday, June 9 from 3:30 to 5:30.
Text: Advanced Modern Algebra second edition by Joseph Rotman.
Syllabus: Department Syllabus.

Course Outline: The course will cover representation theory from sections 7.3 to 7.5, categories from sections 6.2 to 6.3 and possibly 7.8 to 7.9 and homology from sections 9.4 and 9.6 and possibly 9.5, 9.7 and 9.8.

This is a rough and optimistic outline of when topics will be covered and will be edited as the term progresses. The exam scheduling will not change. Homework problems will also be added with assignments collected on Friday s.

DayDateSection(#s) coveredHomework
MondayApril 37.3-7.5: Finite group representations
WednesdayApril 57.3: semisimplicity
FridayApril 77.4: Artin-Wedderburn
MondayApril 107.4: Maschke
WednesdayApril 127.4: KG examples
FridayApril 147.4: 6.7, 6.14, 6.21, 7.19, 7.22, 7.25
MondayApril 177.5: Characters
WednesdayApril 197.5: Characters
FridayApril 217.5: Characters inner product 7.20, 7.23, 7.27, 7.32.
MondayApril 247.5 Character tables
WednesdayApril 267.5 Restriction/Induction
FridayApril 287.5 Frobenius Reciprocity 7.29, 7.30, 7.34, 7.35, 7.38, 7.39.
MondayMay 1 Midterm
WednesdayMay 3Thurston Lecture
FridayMay 56.2: Categories
MondayMay 86.3: Functors 7.41, Midterm Problems
WednesdayMay 106.9: Limits
FridayMay 126.9: Limits
MondayMay 156.10: Adjoints 6.35, 6.41, 6.43, 6.46, 6.47, 6.53, 6.54, 6.56.
WednesdayMay 176.10: Adjoints
FridayMay 196.9: Additive Categories
MondayMay 227.8: Abelian Categories6.102, 6.103, 6.105, 6.109, 6.111, 6.112.
WednesdayMay 247.9: Module Categories
FridayMay 269.4: Homological Algebra
MondayMay 29 no class
WednesdayMay 319.4: Resolutions7.67, 7.74, 7.77, 7.79, 7.84.
FridayJune 29.5: Derived Functors
MondayJune 59.6: Ext
WednesdayJune 79.6: ext and extensions Do not turn in: 9.23, 9.37, 9.38, 9.46, 9.52.
FridayJune 9 final 3:30-5:30