Faculty of Science

Topics in Geometry (GeoTopics)
Provider: Faculty of Science

Activity no.: 7001-21-07-31
	Enrollment deadline: 06/09/2021

Place

Department of Mathematical Sciences

Date and time

06.09.2021, at: 08:00 - 14.11.2021, at: 16:00

Regular seats

ECTS credits

7.50

Contact person

Nina Weisse E-mail address: weisse@math.ku.dk

Enrolment Handling/Course Organiser

Niels Martin Møller E-mail address: nmoller@math.ku.dk

Written language

English

Teaching language

English

Semester/Block

Block 1

Scheme group

A (Tues 8-12 + Thurs 8-17)

Exam form

Continuous assessment

Exam form

Oral examination

Exam details

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.

Grading scale

7 point grading scale. For PhD students: Passed / Not Passed

Course workload

Course workload category	Hours
Lectures	36.00
Theory exercises	27.00
Preparation	143.00

Sum	206.00

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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