University of Toronto
Name: Daniel Litt
Email: daniel.litt@utoronto.ca
Office Hours: 10am Wednesdays, Huron 1018
Name: Austin Sun
Email: austin.sun@mail.utoronto.ca
See here: Notes
| Component | Percentage |
|---|---|
| Assignments (best 4 of 5) | 40% |
| Term Test | 25% |
| Final Assessment | 35% |
There will be 5 assignments. The assignment with the lowest grade will be dropped. Late submissions receive a mark of zero unless an extension is granted by the instructor. Tentative due dates are listed in the lecture schedule below.
There will be one term test, which is 2 hours long, on February 27 in class.
The final assessment will be held during the final assessment period in April 2024, scheduled by the registrar.
| Week | Dates | Topics |
|---|---|---|
| Week 1 | Jan 6 - Jan 10 | Basics of representation theory of groups, semisimplicity, beginnings of character theory |
| Week 2 | Jan 13 - Jan 17 | Character theory, examples, induction and restriction, tensor products, HW 1 due |
| Week 3 | Jan 20 - Jan 24 | Group algebra, field of definition, Brauer’s theorem |
| Week 4 | Jan 27 - Jan 31 | Symmetric groups, HW 2 due |
| Week 5 | Feb 3 - Feb 7 | SL2(Fp) |
| Week 6 | Feb 10 - Feb 14 | Lie algebras, sl2, HW 3 due |
| Week 7 | Feb 17 - Feb 21 | Reading week (no classes) |
| Week 8 | Feb 24 - Feb 28 | sl2 continued, and an application to combinatorics, Term Test (Feb 27) |
| Week 9 | Mar 3 - Mar 7 | More Lie algebras, ideals, root systems, HW 4 due |
| Week 10 | Mar 10 - Mar 14 | Classification of semisimple Lie algebras |
| Week 11 | Mar 17 - Mar 21 | Representations of semisimple Lie algebras |
| Week 12 | Mar 24 - Mar 28 | Pro-p groups, uniform pro-p groups, HW 5 due |
| Week 13 | Mar 31 - Apr 4 | Representation theory of SLn(ℤ), n ≥ 3 |