NSCPHD1084  Introduction to modular form

Volume 2016/2017
Education

PhD Programme in Mathematics

Content

 

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Modular forms as analytic objects, attached L-series, and theory of Hecke operators.

Learning Outcome

Knowledge: After completing the course the student will know the subjects mentioned in the description of the content.

Skills: At the end of the course the student is expected to be able to follow and reproduce arguments at a high, abstract level corresponding to the contents of the course.

Competencies: At the end of the course the student is expected to be able to apply abstract results from the curriculum to the solution of concrete problems of moderate difficulty.

F. Diamond, J. Shurman: A first course in modular forms.

Algebraic number theory, Galois theory, complex analysis.
3 + 3 hours of lectures and 3 hours of exercises per week for 7 weeks.

Final quiz in week 8 or 9 of the course.
Credit
7,5 ECTS
Type of assessment
Continuous assessment
Evaluation via two sets of written assignments and a quiz at the end of the course
Aid
All aids allowed
Marking scale
passed/not passed
Censorship form
No external censorship
Re-exam

30 minute oral examination without preparation.

Criteria for exam assesment

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.

  • Category
  • Hours
  • Lectures
  • 42
  • Seminar
  • 21
  • Exam
  • 70
  • Preparation
  • 73
  • Total
  • 206