HU Credits:
2
Degree/Cycle:
2nd degree (Master)
Responsible Department:
Mathematics
Semester:
2nd Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Dr. Cy Maor
Coordinator Office Hours:
By Appointment
Teaching Staff:
Dr. Cy Maor
Course/Module description:
Riemannian geometry of diffeomorphism groups (and related spaces) arises naturally in a variety of different contexts — from completely pure to applied and even computational mathematics. I will give an introduction to the topic, with a tentative outline as follows:
1. Introduction to infinite dimensional Riemannian geometry
2. Spaces of interest and metrics of interest (mainly in shape analysis and mathematical hydrodynamics)
3. Metric properties of diffeomorphism groups: vanishing distance phenomenon, diameter, metric completeness
4. Geodesic equations: short time existence, regularity of geodesics (following Ebin–Marsden), geodesic completeness
Course/Module aims:
Same as in learning outcomes.
Learning outcomes - On successful completion of this module, students should be able to:
Familiarity with the subject and open questions in it.
Attendance requirements(%):
100
Teaching arrangement and method of instruction:
Irrelevant - determined between the teacher and the student.
Course/Module Content:
See course description
Required Reading:
Course notes
Additional Reading Material:
Irrelevant
Course/Module evaluation:
End of year written/oral examination 0 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 0 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 100 %
100
Additional information:
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