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General information
The Seminar is about applications and problems related to the numerical solution of polynomial systems. Participants should pick one of several projects and present their own solution using the Julia (julialang.org) package HomotopyContinuation.jl (juliahomotopycontinuation.org).
The seminar can be seen as the practical counterpart of the lecture Condition: The Geometry of Numerical Algorithms. It can serve as a preparation for the Thematic Einstein Semester Varieties, Polyhedra, Computation in the winter term 2019/20.
The seminar is organized by
- Dr. Paul Breiding, eMail: breiding -at- math.tu-berlin.de
- Sascha Timme, eMail: timme -at- math.tu-berlin.de
The Projects
A list of proposed project ideas can be found in the following pdf-file.
The projects have been distributed as indicated by the following table.
| Topic | Name |
|---|---|
| alphaCertified | Josue Tonelli Cueto |
| Degree of an Algebraic Variety | Kemal Rose |
| The Multiview Variety | Christoph Schmidt |
| Biochemical Reaction Networks | Thomas Schauer |
| Dimension of Components of Algebraic Varieties | Yumeng Li |
| Intersections of Curves in P^2 | Alexandra Grigorieva |
| Bottlenecks of Algebraic Varieties | Mirko Malik |
| The 4-bar Mechanism | Anna Eckhardt |
Schedule
There will be seminar meetings on certain days in room MA 316.
The planned meeting on 07.06.19 has been cancelled.
| Date | Day | Hours | Content |
|---|---|---|---|
| 03.05.19 | Friday | 1015-1145 | Introduction to Julia and HomotopyContinuation.jl. Discussion of the topics. |
| 24.05.19 | Friday | 1015-1145 | Intermediate meeting to discuss the status of the projects. |
| 07.06.19 | Friday | 1015-1145 | CANCELLED |
| 21.06.19 | Friday | 1015-1145 | Presentations: Alexandra Grigorieva, Anna Eckhardt, Yumeng Li, Kemal Rose |
| 28.06.19 | Friday | 1015-1145 | Presentations: Mirko Malik, Thomas Schauer, Christoph Schmidt |