Math 600a: Modular Forms Reading Course
Course Description
This is a graduate-level mathematics course on modular forms, under the umbrage of William Stein.
600a/gamma_zero_eleven.png "attachment:gamma_zero_eleven.png")
Course Info
Professor: William Stein
Time and Place: Wednesdays 16:00 - 16:50 in Paccar Hall, past cafe and to the right.
- Required Knowledge: Mostly just complex analysis.
Course text: Diamond Im - Modular Forms and Modular Curves
Additional reading: Diamond & Shurman - A First Course in Modular Forms. You will need DJVU to read this.
Schedule of Topics
Date |
Topic |
Speaker |
W 3/30 |
1. Course organization |
|
W 4/6 |
2. Introduction, definition and some examples |
Aly Deines |
W 4/13 |
3. Hecke operators |
Simon Spicer |
W 4/20 |
4. Hecke eigenforms |
Joanna Gaski |
W 4/27 |
5. Petersson inner product |
Joe Pacold |
W 5/4 |
6. Oldforms and newforms |
Bharathwaj Palvannan |
W 5/11 |
7. Modular curves |
Igor Tolkov |
W 5/18 |
8. Cusps and compactification of Y(Gamma) to X(Gamma) |
Aly Deines |
W 5/25 |
9. L-functions |
Simon Spicer |
W 6/1 |
10. From: Moduli spaces, Atkin-Lehner operators |
|
W 6/8 |
11. Hecke operators interpretation in terms of modular curves |
|