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Topics in Geometry (GeoTopics)
Provider: Faculty of Science

Activity no.: 7001-21-07-31 
Enrollment deadline: 06/09/2021
PlaceDepartment of Mathematical Sciences
Universitetsparken 5, 2100 København Ø
Date and time06.09.2021, at: 08:00 - 14.11.2021, at: 16:00
Regular seats50
ECTS credits7.50
Contact personNina Weisse    E-mail address: weisse@math.ku.dk
Enrolment Handling/Course OrganiserNiels Martin Møller    E-mail address: nmoller@math.ku.dk
Written languageEnglish
Teaching languageEnglish
Semester/BlockBlock 1
Scheme groupA (Tues 8-12 + Thurs 8-17)
Exam formContinuous assessment
Exam formOral examination
Exam detailsWeekly 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.
Grading scale7 point grading scale. For PhD students: Passed / Not Passed
Course workload
Course workload categoryHours
Lectures36.00
Theory exercises27.00
Preparation143.00
Sum206.00
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 advanced, state-of-the-art arguments in Riemannian geometry and geometric analysis.

Competencies:
To be able to produce independent proofs in extension of the acquired knowledge.

Teaching and learning methods
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.

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