Lecturer : Stefan Lemurell, Room MV:L3034, Tel.: (031) 7725303, email@example.com
The course will meet 15 times for 2 x 45 minutes. Initially once a week and later twice a week.
The time for the first 3 lectures will be Thursdays (28/2, 7/3, 14/3) 15:15-17 in MVL15.
The course will approximately follow the first 5 chapters of "A First Course in Modular Forms" by Fred Diamond and Jerry Shurman. The book is available from Chalmers library as an e-book.
Other highly recommended books for different points of view:
|Program and Examination|
The teaching will involve lectures , according to the schedule above. Examination will be by means of 5 written homeworks, plus an oral exam in May/June. To pass the course, one will need to pass the oral exam and attain at least 50% overall. In computing the final grade, 50% will be given to the homeworks and 50% to the exam performance.
Grade thresholds will be computed according to the following schemes :
undergraduates: < 50% (U), 50-66% (3), 67-80% (4),
GU undergraduates: < 50% (U), 50-80% (G), 81-100% (VG).
PhD students at MV: To pass the course, you must attain the equivalent of a Chalmers 4-grade. i.e.: at least 67%.
PhD students from other departments: Your grade will be computed as for Chalmers undergraduates, at which point it is up to your examiner to determine whether to award you pass or fail.
NOTE: Students are allowed to collaborate on homeworks, but each person must write and hand in their own solutions and indicate with whom they have collaborated.
As we proceed, completed material will be marked in green.
OBS! The following schedule is approximate and will be continuously updated.
|9||28/2||15-17||MVL15||Modular group, definition and first examples of modular forms|
|12||20/3||15-17||MVL15||Complex tori and Elliptic curves, Modular curves and Moduli spaces|
|13||27/3||15-17||MVL15||Modular curves as Riemann surfaces|
|14||3/4||15-17||MVL15||Cusps, Dimension formulas|
|16||16/4||10-12||MVL15||Dimension formulas (genus, automorphic forms)|
|18/4||15-17||MVL15||Dimension formulas (meromorphic differentials)|
|17||23/4||10-12||MVL15||Dimension formulas (divisors, Riemann Roch)|
|25/4||15-17||MVL15||Dimension formulas (even weight)|
|21-23||Oral exam, choose a time that suits you|