NMAK21002U Topics in Geometry

Volume 2021/2022
Content

We will cover various advanced topics in modern and classic differential geometry and Riemannian geometry, such as prescribed curvature problems, variational problems in geometry, curvature flows, geometric analytical methods, with the precise content depending on the interests of the participants. 

Learning Outcome
 
  • Knowledge: To display knowledge of the course topics and content, at the level of a beginning researcher.
  • Skills: To be able to use the acquired knowledge to perform computations.
  • Competencies: To be able to produce independent proofs in extension of
    the acquired knowledge.
MSc students, who have taken Geometry 2 and preferably Riemannian Geometry.

Academic qualifications equivalent to a BSc degree is recommended.
4 hours of lectures and 3 hours of exercises for 9 weeks.

Please note that to prepare lectures as a participant in this topics course is a substantial time commitment. So participants should plan their time accordingly.
  • Category
  • Hours
  • Lectures
  • 36
  • Preparation
  • 143
  • Theory exercises
  • 27
  • Total
  • 206
Continuous feedback during the course of the semester
Credit
7,5 ECTS
Type of assessment
Continuous assessment
Weekly written assignments combined with 2-4 in-class oral presentations (depending on the number of enrolled students). The written assignments together are weighted the same as the in-class oral presentations together, and the course performance is assessed as a whole.
Aid
All aids allowed
Marking scale
7-point grading scale
Censorship form
No external censorship
One internal examiner
Re-exam

30 minutes oral exam without preparation time and without aids.

Criteria for exam assesment

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