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Discrete Differential Geometry
This is a basic course of the
Berlin Mathematical School
and lectures will be held in English.
Beginning next week, Hanka's office hours will be offered only by appointment.
- Exams for this course are available 25–27 July
The 9th sheet has been updated! It now contains 3 tasks with a maximum of 16 points.
There was a typo in exercise 2. Also, Hanka will not be at the university the next week, 20-24 June. There WILL be tutorials, but there will be NO OFFICE HOURS during that week. As a replacement, Hanka will offer an additional session of office hours the following Monday, 27 June, from 11.45 to 13.15. The due date for the handing in of the (eigth) exercise sheets will thus move from the lecture on 27 June to the tutorials, i.e. 29 June, 10.15 and 30 June, 8.30. This change holds only for that week! The exercise sheets number seven and nine are expected to be handed in on Mondays between the lectures, as usual.
There was another typo in the hint for exercise 3. The ansatz should be y'=sinh(t), sorry for that! The sheet has been updated accordingly.
Additional information was added to exercise 2 in the 4th sheet! Also, some typos were removed.
- Oral exams
for last semester's courses will be offered on 20 May, 3 June and 10 June.
Exact exam dates for this course in the week of 25–28 July will
be announced soon.
Prof. Sullivan's office hours had been listed incorrectly;
they will be Thursdays 13:30–14:30. However today is an
exception: office hours today will be 14:30–15:30.
Hanka's office hours will take place on weekly basis starting next week. This week there are NO office hours on Wednesday (Hanka will not be at her office at that time). Feel free to send her an email and set an appointment if you need to talk to her.
Classical differential geometry studies smooth curves and surfaces,
for instance in terms of their curvatures. This course will consider
analogous notions and results for discrete (usually polygonal) curves
and discrete (usually polyhedral) surfaces. Specific topics will include:
- Curvatures of discrete curves, discrete elastic curves
- Curvatures of discrete surfaces, special parametrizations and classes of surfaces
- Discrete conformal and harmonic maps, the discrete Laplace operator,
circle packings, discrete conformal equivalence, discrete Riemann surfaces,
- Alexander I. Bobenko,
Lecture notes from the Summer 2014 version of this course.
- John M. Sullivan,
Curves of Finite
Total Curvature, in Discrete Differential Geometry,
Birkhäuser, 2008, pp. 137–161.
- John M. Sullivan,
Curvatures of Smooth
and Discrete Surfaces, in Discrete Differential Geometry,
Birkhäuser, 2008, pp. 175–188.
- Sheet 1, due 2 May
- Sheet 2, due 9 May
- Sheet 3, due 23 May
- Sheet 4, due 30 May
- Sheet 5, due 6 June
- Sheet 6, due 13 June
- Sheet 7, due 20 June
- Sheet 8, due 28/29 June
- Sheet 9, due 4 July
- Sheet 10, due 13/14 July
Homework policy and exam information
To get a certificate for the tutorial and thus qualify to take the oral exam,
you need to satisfactorily complete 60% of the homework assignments.
- The exercises are to be handed in in groups of two people.
- The homework is due weekly on Mondays in the break between lectures.
- Exams will be offered the last week of July 2016 and then again in May 2017.