Introduction to modular form

Course content

 

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

Education

PhD Programme in Mathematics

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.

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.

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

Algebraic number theory, Galois theory, complex analysis.

ECTS
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
Criteria for exam assessment

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

Single subject courses (day)

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