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Riemann Surfaces (Winter 2018-2019)
Contents
Course description
Refer to the course poster for the course description.
References
I do not recommend a unique reference or even a small selection, there are a diversity of useful references in the theory of Riemann surfaces. This will be discussed in class.
Class time and location & Office hours
Lectures: Mondays 09:50-11:30, room S215|401
Exercise sessions: Mondays 11:40-13:20 (every other week), room S102|36
Office hours: Wednesdays 12:40-15:00, room S215|322
NB: The scheduling of the exercise sessions is quite irregular: refer to the course schedule below for the precise dates.
Exercise sheets
Click on the exercise sheets below to view or download.
Course schedule
Refer to the course schedule below regularly as it is frequently updated.
| Date | Topic | Homework | Remarks |
|---|---|---|---|
| Mon 15.10.2018 09:50-11:30 |
Chap. 1: Introduction | ||
| Mon 22.10.2018 09:50-11:30 |
Chap. 2: Review of complex analysis | ||
| Mon 29.10.2018 09:50-11:30 |
Chap. 2: Review of complex analysis Chap. 3: Review of manifolds |
Exercise Sheet #1 | |
| Mon 29.10.2018 11:40-13:20 |
Exercise session #1 | ||
| Mon 05.11.2018 09:50-11:30 |
Chap. 3: Review of manifolds Chap. 4: Review of surface topology |
||
| Mon 12.11.2018 09:50-11:30 |
Chap. 4: Review of surface topology |
Exercise Sheet #2 | |
| Mon 12.11.2018 11:40-13:20 |
Exercise session #2 | ||
| Mon 19.11.2018 09:50-11:30 |
Chap. 5: Riemann surfaces: basics | Exercise Sheet #3 | |
| Mon 19.11.2018 11:40-13:20 |
Exercise session #3 | (This exercise session was rescheduled from 26.11) | |
| Mon 26.11.2018 09:50-11:30 |
Chap. 5: Riemann surfaces: basics Chap. 6: Calculus on Riemann surfaces |
||
| Mon 26.11.2018 11:40-13:20 |
- | - | No exercise session! (rescheduled to 19.11) |
| Mon 03.12.2018 09:50-11:30 |
Chap. 6: Calculus on Riemann surfaces | Exercise Sheet #4 | |
| Mon 10.12.2018 09:50-11:30 |
Chap. 6: Calculus on Riemann surfaces Chap. 7: Elliptic functions and elliptic curves |
Exercise Sheet #5 | |
| Mon 10.12.2018 11:40-13:20 |
Exercise session #4 | ||
| Mon 17.12.2018 09:50-11:30 |
Chap. 7: Elliptic functions and elliptic curves | ||
| Mon 14.01.2019 09:50-11:30 |
- | - | Class Cancelled! |
| Mon 21.01.2019 09:50-11:30 |
Chap. 7: Elliptic functions and elliptic curves | Exercise Sheet #6 | |
| Mon 21.01.2019 11:40-13:20 |
Exercise session #5 | ||
| Mon 28.01.2019 09:50-11:30 |
Chap. 8: Sheaves | ||
| Mon 28.01.2018 11:40-13:20 ROOM S108|11 |
(Extra session to make up for 14.01) ROOM S108|11 |
||
| Mon 04.02.2019 09:50-11:30 |
Chap. 8: Sheaves Chap. 9: Line bundles and divisors |
||
| Mon 04.02.2019 11:40-13:20 |
Exercise session #6 | Exercise Sheet #7 | |
| Mon 11.02.2019 09:50-11:30 |
Chap. 9: Line bundles and divisors | Exercise Sheet #8 |